Darkknighta26 Darkknighta26
  • 13-04-2019
  • Mathematics
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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 2 in as shown on the figure Find the perimeter of the square class=

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calculista
calculista calculista
  • 22-04-2019

Answer:

The perimeter of the square is [tex]4\ in[/tex]

Step-by-step 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

[tex]2=x+x[/tex]

[tex]x=1\ in[/tex]

The perimeter of the square is

[tex]P=4b[/tex]

we have

[tex]b=1\ in[/tex]

substitute

[tex]P=4(1)=4\ in[/tex]

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