Problema Solution
A sling is in the shape of an isosceles triangle with a perimeter of 147 inches. The longest side of the sling is 18 inches longer than either of the other two sides. Find the lengths of each side.
Answer provided by our tutors
An isosceles triangle is a triangle with two equal sides.
Let the sides of the triangle be 'a', 'a' and 'b'.
The perimeter is 147:
2a + b = 147
the longest side of the sling is 18 inches longer than either of the other two sides, this means
b = a + 18
by solving the system of equations
b = a + 18
2a + b = 147
we find
a = 43 in
b = 61 in
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The lengths of each side are 43, 43 and 61 inch.