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The Pythagorean theorem Find each missing length to the nearest length

The Pythagorean theorem Find each missing length to the nearest length-example-1

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To find any missing length in a right triangle, we use the Pythagorean Theorem:


a^2=b^2+c^2

Where a is the length of the hypotenuse, the longest side.

In the given right triangle:

• a=8.9

,

• b=4

,

• c=8

We check if this satisfies the Pythagorean Theorem:


\begin{gathered} a^2=4^2+8^2 \\ a^2=16+64 \\ a^2=80 \\ a=\sqrt[]{80} \\ a=8.9\text{ units} \end{gathered}

Thus, we see that the Pythagorean Theorem holds.

User Pawel Twardziak
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