The length of the base of a triangle is twice its perpendicular height. If its area is 36 cm2, find its length and perpendicular height.

Question

asked Oct 23, 2023 110k views

1 Answer

Venkataraman R · Answer 1 · 2023-10-26T18:00:40+0000

Answer: height = 6, length = 12

Explanation:

Let the length of the height = x.

Then, the length of the base = 2x

The formula for the area of a triangle is base*height/2, which equals 36 in this case.

Therefore, x*2x/2 = 36

x^2 = 36

x = 6, 2x = 12

Thus, the height = 6 and then length = 12