Question

The difference between the sides containing a right angle in a right angled triangle is 14 cm . The area of a triangle is 120 cm.calculate the perimeter of the triangle

Answer 1

Suppose one side of a right angle triangle is x

then another side is x+14 

Area of a triangle is 120 

1/2 * Alti * Base =120 

1/2 * x * x+14 = 120 

x^2+ 14x = 120*2 

x^2+ 14x = 240 

x^2+ 14x-240 =0 

x^2+16x-15x-240=0 

x(x+16)-15 (x+16)=0 

(x-15) (x+16) =0 

x-15=0 OR x-16=0 

x=15 OR x=16