Perimeter of an isosceles triangle is 71 centimeters. The measure of one of the sides is 22 centimeters. What are all the possible measure of the other two side?

1 Answer
Aditya Banerjee.
Nov 3, 2016

Possible measures of the other two sides are either, #22cm# and #27cm,# or , #22cm# and #24.5cm# respectively.

Explanation:

An isosceles triangle have two sides of equal length, and another side of another length.

#:.# There are two measures possible for the other two sides.

  • Possibility 1.
    #22cm# is the measure of two equal sides.
    #:. #Let, #x# be the measure of the other side.
    #:.# Perimeter #=(22+22+x)cm=(44+x)cm=71cm.#
    #:.x=27cm.#

  • Possibility 2.
    #22cm# is the measure of one unequal side.
    #:.# Let, #x# be the measure of two equal sides each.
    #:.# Perimeter #=# #(22+x+x)cm=(22+2x)cm=71cm.#
    #:.2x=49cm.#
    #:.x=24.5cm.#

Therefore, possible measures of the other two sides are either, #22cm# and #27cm,# or , #22cm# and #24.5cm# respectively. (answer)

Note : To know more about isosceles triangle, please check into :
https://en.wikipedia.org/wiki/Isosceles_triangle.

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