Question

Sum of perpendicular sides of a right triangle is 34cm and its area is 120sqcm . Find all sides of the triangle​

Answer 1

Answer:

a+b=34

1/2(ab)=120

a×b=240

We know (a+b)²=a²+b²+2a×b

hypotheses²=a²+b²

hyp²=34²-2×240

hyp=26

(a-b)²=a²+b²-2a×b

=676-2×240

=196

a-b=14

by solving a+b and a-b

We get a=24,b=10,hyp=26

Answer 2

a + b = 34

1/2(ab) = 120

 

a × b = 240

 

We know (a+b)² = a² + b² + 2a × b

 

hypotheses² = a² + b²

 

hyp² = 34² - 2 × 240

 

hyp=26  

(a-b)²=a²+b²-2a×b

 

= 676 - 2 × 240  

= 196

 

a-b=14

 

by solving a+b and a-b

 

We get a=24,b=10,hyp=26