Question

if perimeter of right triangle is 60cm hypontuse is 25. find its area

Answer 1

Let ABC be a right angled triangle. Since , the perimeter of a right triangle  = 60 cm

thus,

AB + BC + CA = 60 cm

AB + BC + 25 = 60 cm

AB + BC = 60 - 25 = 35 cm ---- i)

In ΔABC 

Using Pythagoras theorem ,

(35)2 - (25)2 = 2 (AB) (BC)

(35 - 25) (35+25) = 2(AB) (BC)

(AB) (BC) = 300 

⇒ Area of right angle ABC = 150cm2