Question

The perimeter of an isosceles triangle is 42 cm and its base is ( 3 /2 ) times each of the equal sides. Find the length of each side of the triangle, area of the triangle and the height of the triangle.

Answer 1

Let ‘x’ be the measure of each equal sides 

∴ Base = 3/2x  

∴ x + x + 3/2x = 42 [∵ Perimeter = a + b + c = 42 cm] 

⇒ 7/2x = 42 

⇒ x = 12 cm 

∴ Sides are a = x = 12 cm 

b = x = 12 cm 

c = x = 3/2(12) cm = 18 cm 

By heron’s formula