Question

The legs of a right angled triangle are in a ratio 4:3 and its area is 4056cm square find the length of its legs..

Answer 1

Answer:

Step-by-step explanation:

lets eliminate the ratio with a common factor x

then,

4x and 3x are the legs

area of a triangle is = (1/2)×base×height taken from the base

the given triangle is a right angled triangle, therefore,

the height can be any number from 4x and 3x and the other one will be base

hence,

(1/2)×4x×3x = 4056

6x = 4056

x = 4056/6

x = 2028/3

x = 676

so the lengths are 3×676 = 2028 and 4×676 = 2704