Similarity, SMB-016

Triangle I and Triangle II are similar. Pairs of equal angles are shown.

Find the area of Triangle II? (3 marks)

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`24\ text{cm}^2`

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`text(In Triangle I, using Pythagoras:)`

`text{Base}`	`= sqrt(5^2-3^2)`
	`= 4`

`text(Triangle I ||| Triangle II (given))`

♦♦ Mean mark 29%.

`=>\ text(corresponding sides are in the same ratio)`

`text{Scale factor}\ = 6/2=2`

`text{Scale factor (Area)}\ = 2^2=4`