A small area in front of a building is triangular in shape.

Question

The perimeter of the triangle is 37 meters. The second side is one-half of the first side in length. The third side is 3 meters less than the first side. Find the length in meters of each side of the triangular region.

Answer 1

The given parameters are:

a=first side

b=second side

c=third side

a+b+c=37meters

b=a/2

c=a-3

Therefore:

a+(a/2)+(a-3)=37

Solve for a=16meters

Substitute back into b and c to get:

b=8 meters

c=13 meters