The ratio of the side lengths of an isosceles triangle is 7:7:3, and its perimeter is 190cm. What is the length of the base of the triangle?

1 Answer
Jarni Renz
Jan 4, 2018

#=33.52cm#

Explanation:

Given the ratios of the sides of the isosceles triangle and the perimeter will help us determine the base measurement of the triangle. Remember that an isosceles triangle has two equal sides.

So that, the ratio is #7:7:3=17#. The perimeter is known to to be #190cm#. Take the quotient and multiply the result to the side ratios, noting that the ratio of same value are the sides of the triangle that are congruent.

Thus, #(190cm)/(17)=11.18cm# and the respective side length are:
#7xx11.18=78.24cm# } the congruent side
#7xx11.18=78.24cm# } the congruent side
#3xx11.18=33.52cm# } the base

#P_(it)=a+b+c#
#P_(it)=78.24cm+78.24cm+33.52cm=190cm#

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