Question

Find the perimeter of the triangle, If one side is one-fourth the perimeter and second side is two-fifths the perimeter and the third side is 4cm.

Answer 1

Answer:

Perimeter = 10 cm

Step-by-step explanation:

Let a,b,c be the sides.

a = 4 cm

b = (1/4)(a + b + c) => 4b = 4 + b + c => c = 3b - 4

c = (2/5)(a + b + c) => 5c = 2(4 + b + c) => 15b - 20 = 8 + 2b + 6b - 8

=> b = 20/7 cm => c = 32/7 cm

Therefore perimeter =  4 + 20/7 + 32/7 = 10 cm