Question

if the altitude of a triangle are in the 2:3:4, then the length of the corresponding sides are in the ratio

Answer 1

let the length of sides be x
therefore sides are 2x,3x,4x
We know that the sum of all angles of triangle is 180°.So,
2x+3x+4x=180
9x=180
x=180/9
x=20
so,
sides are
2x=2×20=40
3x=3×20=60
4x=4×20=80