Use the Pythagorean theorem to find the exact length of a side of a right triangle

If we know the lengths of any two sides of a right triangle, we can find the length of the third side using the Pythagorean theorem

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If a and b are the lengths of two legs of a right triangle and c is the length of the hypotenuse, then the Pythagorean Theorem states that

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\(a^2 + b^2 = c^2\)

\(a + b^2 = c^2\)

\(a^2 + b^2 = c\)

\(a + b = c^2\)

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Find the length of the hypotenuse of the right triangle shown here

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Answer = (1) in.

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Firefighting

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To fight a forest fire, the forestry department plans to clear a rectangular fire break around the fire, as shown in the following figure. Crews are equipped with mobile communications that have a 3,000-yard range. Can crews at points \( A \) and \( B \) remain in radio contact?

\( c \) = (1)

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The lengths of two sides of a right triangle are given in the figure. Find the missing side length

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\( a \) = (1)

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Refer to the right triangle shown here. Find the missing side length. Give the exact answer and an approximation to the nearest hundredth.

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Answer = (1) in.

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Finding the width of a TV Screen

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\( a \) = (1)

Approximate to the nearest inch

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If we know the lengths of any two sides of a right triangle, we can find the length of the third side using the Pythagorean theorem

Correct Answer

Explanation

If a and b are the lengths of two legs of a right triangle and c is the length of the hypotenuse, then the Pythagorean Theorem states that

Correct Answer

Explanation

Find the length of the hypotenuse of the right triangle shown here

Correct Answer

Explanation

Firefighting

Correct Answer

Explanation

The lengths of two sides of a right triangle are given in the figure. Find the missing side length

Correct Answer

Explanation

Refer to the right triangle shown here. Find the missing side length. Give the exact answer and an approximation to the nearest hundredth.

Correct Answer

Explanation

Finding the width of a TV Screen

Correct Answer

Explanation

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