A homeowner wants several small dormers built on his roof to admit light. They will be in the shape of isosceles triangles whose

Question

4 years ago

12

A homeowner wants several small dormers built on his roof to admit light. They will be in the shape of isosceles triangles whose

sides will exceed their base by 5 in. If the perimeter is 100 in., what are the lengths of the three sides? The base is and the equal sides are .

Mathematics

1 answer:

Vlad1618 [11] · Answer 1 · 2021-11-23T20:06:28+03:00

Vlad1618 [11]4 years ago

4 0

P = s + (s + 5) + (s + 5) This represents the two sides that are 5 inches longer than the base (s + 5) and the base (s).
Simplifying.
100 = 3s + 10
subtract 10 from both sides
90 = 3s
divide both sides by 3
30 = s
base = 30
sides = 35

CHECK 30 + 35 + 35 = 100