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A square is inscribed in an isosceles right triangle. Length of the leg equals to 2 in. as shown on the figure. Find the perimeter of the square.

A square is inscribed in an isosceles right triangle. Length of the leg equals to-example-1

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1 vote

Answer:

The perimeter of the square is
4\ in

Explanation:

Let

x----> the length side of the square

we know that

In an isosceles right triangle the measures of the internal angles are 45°-90°-45°

so

the horizontal distance is equal to the vertical distance


2=x+x


x=1\ in

The perimeter of the square is


P=4b

we have


b=1\ in

substitute


P=4(1)=4\ in

User Piotr Jurkiewicz
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