$\"\"$

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Find the perimeter of the Rightangle.

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Observe the figure:

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Here Adjacent side is $\"\"$ and Hypotenuse is $\"\"$ .

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Find $\"\"$ .

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The Pythagorean theorem is $\"\"$ .

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$\"\"$ (Substitute $\"\"$ and $\"\"$ )

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$\"\"$ (Substitute $\"\"$ and $\"\"$ )

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$\"\"$ (Subtract $\"\"$ from each side)

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$\"\"$ (Apply additive inverse property : $\"\"$ )

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$\"\"$ (Apply Square root on each side)

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$\"\"$ ( $\"\"$ )

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$\"\"$

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The perimeter of the rightangle is $\"\"$ .

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Find perimeter.

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$\"\"$ (Orginal formula)

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$\"\"$ (Substitute $\"\"$ , $\"\"$ and $\"\"$ )

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$\"\"$ (Simplify)

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Therefore, the perimeter of the right angle triangle is $\"\"$ .

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$\"\"$

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The perimeter of the right angle triangle is $\"\"$ .