Question

A rectangle is inscribed in a right isocdles triangle with a leg of 6 cm so that it shares a common vertex with the triangle. Find the perimeter of the rectangle.

Answer 1

One vertex the rectangle lies on the straight line x + y = 6, which means that the sum of lengths of two adjacent sides is 6. Then the perimeter is 12 cm.

Answer 2

The required perimeter of the rectangle is 12 cm.

A rectangle is inscribed in a right isosceles triangle with a leg of 6 cm.

What is rectangle?

Rectangle is four sided polygon whose opposites sides are equal and has angle of 90° between its sides.

Since, the leg of the rectangle is 6 cm.
Meanwhile sum of two adjacent L + B = 6
The perimeter of the rectangle is = 2 x leg
= 2 x 6
= 12

Thus, the required perimeter of the rectangle is 12 cm.

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