Problema Solution
The perimeter of a triangle is 46 cm. The longest side is 4 cm less than the sum of the other two sides. Twice the shortest side is 11 cm less than the longest side. Find the lengths of each sides of the triangle.
Answer provided by our tutors
let 'a', 'b' and 'c' represent the sides of the triangle such that a<=b<=c
The perimeter of a triangle is 46 cm:
a + b + c = 46
The longest side is 4 cm less than the sum of the other two sides:
c = a + b - 4
Twice the shortest side is 11 cm less than the longest side:
2a = c - 11
by solving the system of equations:
a + b + c = 46
c = a + b - 4
2a = c - 11
we find:
a = 5 cm
b = 20 cm
c = 21 cm
click here to see the step by step solution of the system of equations:
the sides of the triangle are: 5 cm, 20 cm and 21 cm.