Question

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

Answer:

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Answer 2

Answer:

10unit

Step-by-step explanation:

Let the shortest side of equilateral triangle be x

longest side of Triangle = x+ 1

So perimeter of Triangle =( x + 1)+(x+1)+x = 3x +2

Given

perimeter of Triangle = perimeter of square

Side = x - 2

perimeter of square = 4 *side of square = 4(x -2)

According to question

4x - 8= 3x + 2

x = 10unit