Question

**50 points** The congruent sides of an isosceles triangle are each 1 unit longer than the length of the shortest side of the triangle. The perimeter of the triangle is the same as the perimeter of a square whose side length is 2 units shorter than the length of the shortest side of the triangle. What is the length of the shortest side of the triangle?
____ Units

Answer 1

Hi Austin!

The congruent sides of an isosceles triangle are each 1 unit longer than the length of the shortest side of the triangle. The perimeter of the triangle is the same as the perimeter of a square whose side length is 2 units shorter than the length of the shortest side of the triangle. What is the length of the shortest side of the triangle?

We Know:

Isosceles Triangle is a triangle with  sides with the same length and the other not.

x = both equal sides

y = smaller side

x is 1 unit longer than y

Same perimeter as a square that the length is 2 units shorter than the shortest side.

Solution:

Use 10 (y = 10)

Triangle: 10 + 10 + 9 = 29

Square: 7 + 7 + 7 + 7 = 28

Answer - 10 units

Hope This Helps :)

Answer 2

The length would be 10 units

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