Problema Solution
The perimeter of a triangle is 57 cm. the longest side is 5cm less than the sum of the other two sides. Twines the shortest side is 10 cm less than the longest side. Find the length of each side of the triangle
Answer provided by our tutors
let a, b and c be the sides of the triangle such that
a>=b>=c that is a is the longest side and c is the shortest side
the perimeter of a triangle is 57 cm
a + b + c = 57
the longest side is 5cm less than the sum of the other two sides
a = (b + c) - 5
twice the shortest side is 10 cm less than the longest side
2c = a - 10
by solving the system of equations
a + b + c = 57
a = (b + c) - 5
2c = a - 10
we find
a = 26 cm
b = 23 cm
c = 8 cm
click here to see the step by step solution of the system of equations
the lengths of the sides of the triangle are 26 cm, 23 cm and 8 cm.