Question

The perimeter of a right angled triangle is 30cm and hypotenuse is 13cm. Find the length of other two sides of the triangle

Answer 1

Perimeter=a+b+c=30

Let c=13 => a+b=30-13

                  a+b=17

=> b=17-a

a^2+b^2=13^2 (pythagoreon theorem)

a^2+(17-a)^2=13^2

a^2+17^2+a^2-34a=169

2a^2+289-169-34a=0

2a^2-34a+120=0

Using quadratic equation

a=5,12

5+12+13=30,Hence the two sides are 5 and 12.