Use the Pythagorean Theorem Practice

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Question
Find the unknown side length in the given triangle. Round to the nearest hundredth.(1 point)

1 answer

To find the unknown side length in a right triangle using the Pythagorean Theorem, you can use the formula:

\[ a^2 + b^2 = c^2 \]

Where:

  • \( c \) is the length of the hypotenuse (the side opposite the right angle),
  • \( a \) and \( b \) are the lengths of the other two sides.

If you have the lengths of two sides and need to find the third, you can rearrange the formula.

  1. If you're solving for \( c \) (the hypotenuse): \[ c = \sqrt{a^2 + b^2} \]

  2. If you're solving for one of the other sides (let's say \( a \)): \[ a = \sqrt{c^2 - b^2} \]

  3. If you're solving for \( b \): \[ b = \sqrt{c^2 - a^2} \]

Please provide the lengths of the sides you have, and I can help you calculate the unknown side length, rounding to the nearest hundredth.

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