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What is the perimeter

This Pythagorean theorem

What is the perimeter This Pythagorean theorem-example-1

2 Answers

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Answer:

P = 48 ft

Explanation:

Use Pythagorean theorem to find b

b = √20² - 16² = √400-256 = √ 144

b = 12

Perimeter is the sum of all sides so P = 20+16+12

P = 48

User HandlerFive
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Answer:

48 feet.

Explanation:

The Pythagorean Theorem is:


a^2+b^2=c^2

Plug in the numbers accordingly (it already gives the hypotenuse, "c."):


16^2+b^2=20^2\\256 + b^2 = 400

Subtract 256 from both sides:


b^2 = 144

Take the square root of both sides:


√(b^2) = √(144)

b = 12

To find the perimeter, add all the sides together, like so:

20 + 16 + 12 = 48

User Mplwork
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