Question

The altitude of a triangle is two – third the length of its corresponding base. If the altitude is increased by 4 cm and the base decreased by 2 cm, the area of the triangle remains the same. Find the base and the altitude of the triangle.

Answer 1

let the base be = x
altitude=2/3×x
area=1/2×x×2/3x

new altitude=2/3x+4
new base=x-2
new area=1/2×2/3x+4×x-2

now equate both the area n find x.then find the measures