97.3k views
0 votes
the congruent sides of an isosceles triangle are each one unit longer than the length of the shortest side of the triangle the perimeter of the triangle the same as a perimeter of a square with side length is 2 units shorter than the length of the shorter side of the triangle what is the length of the shorter side of the triangle

2 Answers

3 votes

Answer:

x=10 just took the question and got it riht

Explanation:

User Voriki
by
7.3k points
2 votes

Let s represent the short side of the triangle. The long sides of the triangle are each s+1, and the triangle's perimeter is

... s + (s+1) + (s+1) = 3s+2

The length of one side of the square is s-2, and its perimeter is 4 times that, 4(s-2) = 4s-8. The square and triangle have the same perimeter, so

... 3s+2 = 4s-8

... 10 = s . . . . . . . . add 8-3s to both sides

The length of the shorter side of the triange is 10 units.

User Isvara
by
6.7k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.