The length of the base of an isosceles triangle is x. The length of a leg is 2x-6. The perimeter of the triangle is 23 . Find x.

Nzh asked Feb 14, 2022

307,607 views

42 votes

Nzh asked Feb 14, 2022

by Nzh

2.3k points

Your comment on this question:

Email me at this address if a comment is added after mine:Email me if a comment is added after mine

Privacy: Your email address will only be used for sending these notifications.

Email me at this address if my answer is selected or commented on:Email me if my answer is selected or commented on

Privacy: Your email address will only be used for sending these notifications.

21 votes

Answer:

In an isosceles triangle, the legs of the triangle have same lengths.

${ \tt{perimeter = side + side + side}}$

• substitute:

${ \tt{23 = x + 2(2x - 6)}} \\ \\ { \tt{23 = x + 4x - 12}} \\ \\ { \tt{5x = 35}} \\ \\ { \boxed{ \tt{ \: \: x = 7 \: \: }}}$

Joe Pitz answered Feb 18, 2022

3.0k points

Email me at this address if a comment is added after mine:Email me if a comment is added after mine

Privacy: Your email address will only be used for sending these notifications.

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

1.6m questions

2.0m answers