- 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)
--- 4 WORK AREA LINES (style=lined) ---
- Using your result from part (a) above, calculate the perimeter of the shape below, correct to 1 decimal place. (2 marks)
--- 4 WORK AREA LINES (style=lined) ---
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)
--- 6 WORK AREA LINES (style=lined) ---
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)
--- 6 WORK AREA LINES (style=lined) ---
Show Worked Solution
\(\text{Let }a=4\ \text{and }b=7)
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)
--- 4 WORK AREA LINES (style=lined) ---
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)
--- 4 WORK AREA LINES (style=lined) ---
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)
--- 4 WORK AREA LINES (style=lined) ---
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)
--- 4 WORK AREA LINES (style=lined) ---
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)
--- 4 WORK AREA LINES (style=lined) ---
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)
--- 4 WORK AREA LINES (style=lined) ---
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)
--- 4 WORK AREA LINES (style=lined) ---
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)
--- 4 WORK AREA LINES (style=lined) ---
Right-angled Triangles, SM-Bank 036
Find the value of the pronumeral in the right-angled triangle below. (2 marks)
--- 4 WORK AREA LINES (style=lined) ---
Right-angled Triangles, SM-Bank 035
Find the value of the pronumeral in the right-angled triangle below. (2 marks)
--- 4 WORK AREA LINES (style=lined) ---
Right-angled Triangles, SM-Bank 034
Find the value of the pronumeral in the right-angled triangle below. (2 marks)
--- 5 WORK AREA LINES (style=lined) ---
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
