Question

The areas of two similar triangles are 4 cm2 and 9 cm2.
The ratio of their corresponding heights is

Answer 1

Step-by-step explanation:

The areas of two similar triangles are 4 cm2 and 9 cm2.

The ratio of their corresponding heights is

Answer 2

Answer:

Let the two triangles be ABC and PQR

Area of triangle ABC= 4 cm^2

Area of triangle PQR= 9cm^2

And their corresponding sides are BC and QR

A/Q

Area of triangle ABC /Area of triangle PQR = BC^2/QR^2 (By theorem)

= 4/9 = BC^2/QR^2

= 2/3 = BC/QR

Therefore the ratio of their corresponding side is 2:3

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