A square is inscribed in an isosceles right triangle. Length of the leg equals to 2 in. as shown on the figure. Find the perimet
er of the square.
1 answer:
Answer:
The perimeter of the square is
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
The perimeter of the square is
we have
substitute
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