Question

In a right angled triangle if hypotenuse is 20cm and if ratio of other two sides is 4:3 find the 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.

Answer 2

Let 4 and 3 be 4x and 3x

By puthogoras theorm we know that

A^2+B^2=C^2

4x^2+3x^2=20^2

16x^2+9x^2 =400

25x^2=400

x^2=16

x= √16

x=±4

So the value of the x is 4

Then the height will be 4*4 that is 16

And the base will be 3 *4 that is 12