Question

In a right triangle hypotenuse is 20cm other two sides are in the ratio 4:3 find the other two sides

Answer 1

Let the sides be 4x and 3x.

By Pythagoras theorem we have,

x²+y²=z²

(4x)²+(3x)²=20²

16x²+9x²=400

25x²=400

x²=16

x=√16

x=4 (Rejecting -4 as length cannot be negative.)

As we know that the sides are 4x and 3x,

Plugging in value of x we get the sides as,

16cm and 12cm.

Hope this helps.