Question

The area of two equilateral triangles are in the ratio 25 : 36. Their altitudes will be in the ratio :

• A. 36 : 25
• B. 25 : 36
• C. 5 : 6
• D. $$\sqrt{5}:\sqrt{6}$$

Answer 1

Answer:

C. 5 : 6

The ratio of the area of two similar triangles is equal to the ratio of square of the corresponding altitudes.

Ratio of altitudes $=\frac{\sqrt{25}}{\sqrt{36}}$

$=\frac{5}{6}=5:6$