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Q.

In two similar triangles ∆ABC and ∆DEF, AB = 15cm, DE = 5cm.
What would be the ratio of their elevations if AL and DM are the triangles ABC's and DEF's respective altitudes?

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a

1 : 2

b

2 : 1

c

3:1

d

1 : 3

answer is A.

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Detailed Solution

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Concept: We are aware that if two triangles are equiangular, then the ratio of their respective sides and altitudes will be the same.

$∴ \frac{A B}{D E} = \frac{A L}{D M}$

$\frac{15}{5} = \frac{A L}{D M}$

$\frac{3}{1} = \frac{A L}{D M}$

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