Question

in an equilateral triangle, the ratio of the sum of
the squares of altitudes to the sum of the squares
of sides is
(1) 1:2
(2) 2:1
(3) 2:3
(4) 3:4
pls explain with process​

Answer 1

Answer:

2:3

Step-by-step explanation:

i think its helps u...

Answer 2

Answer:

3:4

Step-by-step explanation:

If the side of equilateral triangle is a

Then altitude of equilateral triangle = √3a/2

Square of side = a²

Sum of squares of sides = 3a² (all sides equal in equilateral triangle)

Square of altitude = 3a²/4

Sum of squares of altitudes = 9a²/4 (all altitudes equal in equilateral triangle)

Ratio = (9a²/4)/ (3a²)

=3/4

Ratio = 3:4