Question

3 squares are positioned to form a triangle. the small square is labeled 6 units, medium square is 8 units, and large square is not labeled. answer these questions about the right triangle. what is the area of the square of the leg 6? what is the area of the square of the leg 8? what is the area of the hypotenuse square? what is the length of the hypotenuse?

Answer 1

The area of the square of the leg 6 is 36 square units.

The area of the square of the leg 8 is 64 square units.

The area of the square of the hypotenuse square is 100 square units.

The length of the hypotenuse is 10 units.

Formula Used

Area of square, A = $(a)^{2}$

Here, $a$ is the length of the side of the square.

Pythagoras Theorem is given as,

$h^{2} =p^{2} +b^{2}$

Here, $h, p, b$ are the hypotenuse, perpendicular, and the base of a right angle triangle respectively.

Area of the Square of the Leg 6

Length of the edge of the square = 6 units

Area of square = 6*6

= 36 square units

Area of the Square of the Leg 8

Length of the edge of the square = 8 units

Area of square = 8*8

= 64 square units

Area of the Hypotenuse Square and the Length of the Hypotenuse

Applying Pythagoras theorem,

$h^{2} = (8)^{2} +(6)^{2}$

$h^{2} = 64+36$

$h = \sqrt{100}$

$h = 10 units$

Therefore, the area of the hypotenuse square is 100 square units and the length of the hypotenuse comes out to be10 units.

Learn more about area of square here:

brainly.com/question/1658516

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