Question

the hypotenuse of an isosceles right triangle is √242cm. find the length of each equal side

Answer 1

Area of an isosceles right angled triangle =1/2 x a2, where a is the length of each of the legs ⇒ 288 = 1/2 x a2 ⇒ 288 x 2 = a2 ⇒ a2 = 576 ⇒ a = √576 ⇒ a = 24Length of each of the legs of the isosceles triangle = 24 cm Hypotenuse of the triangle = √[(24)2 + (24)2] = √[576 + 576] = 24√2 cm