The corresponding altitudes of two similar triangles are 6 cm and 9 cm respectively. Find the ratio of their areas.

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asked Feb 13, 2018 in Mathematics by sforrest072 (157,439 points) 61 410 942

The corresponding altitudes of two similar triangles are 6 cm and 9 cm respectively. Find the ratio of their areas.

1 Answer

+1 vote
answered Feb 13, 2018 by mdsamim (213,225 points) 5 10 15
selected Feb 13, 2018 by sforrest072
 
Best answer

We have,
ΔABC ~ ΔPQR
AD = 6 cm
And, PS = 9 cm
By area of similar triangle theorem

∠B = ∠Q [ΔABC ~ ΔPQR]
∠ADB = ∠PSQ [Each 90°]
Then, ΔABD ~ ΔPQS [By AA similarity]

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