Question

Use the Pythagorean theorem to find the length of the hypotenuse in the Triangle

Answer 1

10 units

Step-by-step explanation:

The Pythagorean theorem says that the hypotenuse c of a triangle is equal to:

`c=\sqrt[]{a^2+b^2}`

Where a and b are the length of the other sides of the triangle.

So, replacing a by 6 and b by 8, we get that the hypothenuse is equal to:

`\begin{gathered} c=\sqrt[]{6^2+8^2} \\ c=\sqrt[]{36+64} \\ c=\sqrt[]{100} \\ c=10 \end{gathered}`

Therefore, the length of the hypothenuse is 10 units