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? cm

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24-10-2016
Mathematics

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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? cm

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toporc toporc · Answer 1 · 2016-10-24T10:42:13+02:00

toporc toporc

24-10-2016

Let x units be the length of the shortest side of the triangle.
Perimeter of triangle = 2(x + 1) +x = 3x + 2
Perimeter of square = 4(x - 2) = 4x - 8
Equating the two expressions for perimeters, we get:
3x + 2 = 4x - 8
The solution is: x = 10

The answer is 10 units.

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Pipsqueak1111 Pipsqueak1111 · Answer 2 · 2019-11-07T01:23:39+01:00

Pipsqueak1111 Pipsqueak1111

07-11-2019

Answer: The answer is: 10 units

Step-by-step explanation:

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