Question

(3) 36 ll, 20
The areas of two equilateral triangles are in the
ratio 25 : 36. Their altitudes will be in the ratio.
(1) 36 : 25
(2) 25 : 36
(3) 5:6
(4) 15:16
​

Answer 1

HOPE IT HELPS YOU PLEASE MARK IT AS BRAINLIEST AND FOLLOW ME (◍•ᴗ•◍)❤(◍•ᴗ•◍)❤(◍•ᴗ•◍)❤(◍•ᴗ•◍)❤(◍•ᴗ•◍)❤

Answer 2

Relation between altitude and side of an equilateral triangle is given by $a = \frac{2}{ \sqrt{3} } h$

Area of triangle will be ½(a)(h)=½($\frac{2}{ \sqrt{3} } h$)(h)

= $\frac{ {h}^{2} }{ \sqrt{3} }$

Ratio of areas is 25:36

Therefore, the altitudes will be in ratio of √(25:36 = 5:6