Problema Solution
the perimeter of a triangle is 79.75 inches. The second side of the triangle is half as big as the first side. The third side is 7.25 in. greater than the first side.
What is the length of the longest side of the triangle?
Answer provided by our tutors
let
a, b, and c represent the side of the triangle and a< b < c
the perimeter of a triangle is 79.75 inches
a + b + c = 79.75
the second side of the triangle is half as big as the first side
b = (1/2)a
the third side is 7.25 in. greater than the first side:
c = 7.25 + a
by solving the system of equations:
a + b + c = 79.75
b = (1/2)a
c = 7.25 + a
we find:
a = 29 in
b = 14.5 in
c = 36.25 in
click here to see the step by step solution of the system of equations:
the length of the longest side is 36.25 inches.