- Use Pythagoras' Theorem to calculate the length of the hypotenuse in the isosceles triangle below. Give your answer correct in exact surd form. (2 marks)
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- Using your result from part (a) above, calculate the perimeter of the shape below, correct to 1 decimal place. (2 marks)
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Right-angled Triangles, SM-Bank 052
Use Pythagoras' Theorem to calculate the perimeter of the isosceles triangle below, correct to the nearest centimetre. (3 marks)
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Show Worked Solution
Right-angled Triangles, SM-Bank 051
Use Pythagoras' Theorem to calculate the perimeter of the trapezium below, correct to 1 decimal place. (3 marks)
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Show Worked Solution
\(\text{Let }a=4\ \text{and }b=7)
Right-angled Triangles, SM-Bank 050
Use Pythagoras' Theorem to calculate the perimeter of the rectangle below, correct to 1 decimal place. (3 marks)
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Right-angled Triangles, SM-Bank 049
- Calculate the length of the hypotenuse in the following right-angled triangle. Give your answer correct to the nearest metre. (2 marks)
- Find the perimeter of the triangle. (1 mark)
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Right-angled Triangles, SM-Bank 048
The size of a computer monitor is determined by the length of the diagonal of the screen. Use Pythagoras' Theorem to calculate the size of the monitor in the diagram below. (2 marks)
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Right-angled Triangles, SM-Bank 047
Use Pythagoras' Theorem to calculate the length of the diagonal in the rectangle below, correct to 1 decimal place. (2 marks)
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Right-angled Triangles, SM-Bank 046
Lewis is holding a string attached to a kite. Lewis is 8 metres from the kite and the kite is flying 4 metres above his hand. Use Pythagoras' Theorem to calculate the length of the string attached to the kite, correct to 2 decimal places. (2 marks)
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Right-angled Triangles, SM-Bank 045
Use Pythagoras' Theorem to calculate the height of the building below. (2 marks)
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Right-angled Triangles, SM-Bank 044
Calculate the perpendicular height of the isosceles triangle below, giving your answer correct to one decimal place. (2 marks)
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Show Worked Solution
Right-angled Triangles, SM-Bank 042
Find the value of the pronumeral in the right-angled triangle below, giving your answer in exact surd form. (2 marks)
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Right-angled Triangles, SM-Bank 041
Find the value of the pronumeral in the right-angled triangle below, giving your answer in exact surd form. (2 marks)
Right-angled Triangles, SM-Bank 040
Find the value of the pronumeral in the right-angled triangle below, giving your answer in exact surd form. (2 marks)
Right-angled Triangles, SM-Bank 039
Find the value of the pronumeral in the right-angled triangle below, giving your answer correct to 1 decimal place. (2 marks)
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Right-angled Triangles, SM-Bank 038
Find the value of the pronumeral in the right-angled triangle below, giving your answer correct to 1 decimal place. (2 marks)
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Right-angled Triangles, SM-Bank 037
Find the value of the pronumeral in the right-angled triangle below, giving your answer correct to 1 decimal place. (2 marks)
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Right-angled Triangles, SM-Bank 036
Find the value of the pronumeral in the right-angled triangle below. (2 marks)
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Right-angled Triangles, SM-Bank 035
Find the value of the pronumeral in the right-angled triangle below. (2 marks)
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Right-angled Triangles, SM-Bank 034
Find the value of the pronumeral in the right-angled triangle below. (2 marks)
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Right-angled Triangles, SM-Bank 043
Arthur observes a plane through his binoculars at a distance of 7500 metres. If Ben is directly under the plane and it is flying at an altitude of 5000 metres, how far apart are Arthur and Ben? Give your answer correct to the nearest metre. (2 Marks)
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Right-angled Triangles, SM-Bank 033
Find the value of the pronumeral in the right-angled triangle below giving your answer in exact surd form. (2 marks)
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Right-angled Triangles, SM-Bank 032
Find the value of the pronumeral in the right-angled triangle below giving your answer in exact surd form. (2 marks)
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Right-angled Triangles, SM-Bank 031
Find the value of the pronumeral in the right-angled triangle below giving your answer in exact surd form. (2 marks)
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Right-angled Triangles, SM-Bank 030
Find the value of the pronumeral in the right-angled triangle below correct to one decimal place. (2 marks)
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Right-angled Triangles, SM-Bank 029
Find the value of the pronumeral in the right-angled triangle below correct to one decimal place. (2 marks)
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Right-angled Triangles, SM-Bank 028
Find the value of the pronumeral in the right-angled triangle below correct to one decimal place. (2 marks)
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Right-angled Triangles, SM-Bank 027
Find the value of the pronumeral in the right-angled triangle below. (2 marks)
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Right-angled Triangles, SM-Bank 026
Find the value of the pronumeral in the right-angled triangle below. (2 marks)
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Right-angled Triangles, SM-Bank 025
Find the height of the power pole below correct to one decimal place. (2 marks)
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Right-angled Triangles, SM-Bank 024
Use Pythagoras' Theorem to decide if the triangle below is right-angled. (2 marks)
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Right-angled Triangles, SM-Bank 023
Use Pythagoras' Theorem to decide if the triangle below is right-angled. (2 marks)
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Right-angled Triangles, SM-Bank 022
Use Pythagoras' Theorem to decide if the triangle below is right-angled. (2 marks)
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Right-angled Triangles, SM-Bank 021
Use Pythagoras' Theorem to decide if the triangle below is right-angled. (2 marks)
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Right-angled Triangles, SM-Bank 020
Use Pythagoras' Theorem to decide if the triangle below is right-angled. (2 marks)
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Right-angled Triangles, SM-Bank 019
Use Pythagoras' Theorem to decide if the triangle below is right-angled. (2 marks)
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Right-angled Triangles, SM-Bank 018
Use Pythagoras' Theorem to decide if the numbers
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Right-angled Triangles, SM-Bank 017
Use Pythagoras' Theorem to decide if the numbers
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Right-angled Triangles, SM-Bank 016
Use Pythagoras' Theorem to decide if the numbers
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Right-angled Triangles, SM-Bank 015
Use Pythagoras' Theorem to decide if the numbers
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Right-angled Triangles, SM-Bank 014
Use Pythagoras' Theorem to decide if the numbers
Right-angled Triangles, SM-Bank 013
Use Pythagoras' Theorem to decide if the numbers
Right-angled Triangles, SM-Bank 012
Which side is the hypotenuse in these right angled triangles? (3 marks)
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b. |
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c. |
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Right-angled Triangles, SM-Bank 011
Which side is the hypotenuse in these right angled triangles? (3 marks)
| a. |  |
b. |
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c. |
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Right-angled Triangles, SM-Bank 010 MC
Which of the following is true of the hypotenuse in a right-angled triangle?
- The hypotenuse is the side opposite to the right angle.
- The hypotenuse is the side adjacent to the right angle.
- The hypotenuse is one of the shorter sides in a right angled triangle.
- The hypotenuse is equal to the sum of the square of the other two sides.
Show Worked Solution
Right-angled Triangles, SM-Bank 009 MC
Which of the following correctly states Pythagoras' Theorem for this triangle?
Right-angled Triangles, SM-Bank 008 MC
Which of the following correctly states Pythagoras' Theorem for this triangle?
Right-angled Triangles, SM-Bank 007 MC
Which of the following correctly states Pythagoras' Theorem for this triangle?
Right-angled Triangles, SM-Bank 006 MC
Which of the following correctly states Pythagoras' Theorem for this triangle?
Right-angled Triangles, SM-Bank 005 MC
Which of the following correctly states Pythagoras' Theorem for this triangle?
Right-angled Triangles, SM-Bank 004 MC
Which of the following correctly states Pythagoras' Theorem for this triangle?
Right-angled Triangles, SM-Bank 003 MC
Which of the following correctly states Pythagoras' Theorem for this triangle?
Right-angled Triangles, SM-Bank 002 MC
Which of the following correctly states Pythagoras' Theorem for this triangle?
Right-angled Triangles, SM-Bank 001 MC
Henry flies a kite attached to a long string, as shown in the diagram below.
The horizontal distance of the kite to Henry’s hand is 8 m.
The vertical distance of the kite above Henry’s hand is 15 m.
The length of the string, in metres, is
- 13
- 17
- 23
- 289
