The perimeter of an isosceles triangle is 29 feet. If the base measures 15 feet what is the measure of the other two sides?

1 Answer
Mar 25, 2018

Answer:

They each equal #7# feet.

Explanation:

The equation for the perimeter of a triangle is #P=S_1+S_2+S_3#,
which for an isosceles triangle could be written as: #P=S_1+2(S_2)#
We know the perimeter is #29# feet, and the base is #15# feet. So we can substitute in those values to get:

#=>##29=15+2(S_2)#

Subtract #15# from both sides, and get:

#=>##14=2(S_2)#

Divide by #2#, and get:

#=>##7=S_2#

Since #S_2=S_3#, we know that both sides equal #7# feet, which makes since, as it is an isosceles triangle and #7+7+15=29#.