Q6 of 99 Page 267

Perimeter of any isosceles triangle is 544 cm. and length of each equal side is of length of base. Let us write by calculating the area of this triangle.

Given, perimeter of isosceles triangle = 544cm


Let length of base side be b


Then according to the given condition


Length of equal side =


Perimeter of isosceles triangle = 2a +b, where a is equal side and b is base


⇒


⇒


⇒ 544 × 6 = 16b


⇒ 3264 = 16 b


⇒ b = 204 cm


⇒ equal side (a) =


⇒ a =170 cm


Area of =


=


=


= 102 × √ 18496


= 102 × 136


= 13872 cm2


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