Question

# what is the length of the hypotenuse of a right triangle with legs of length 7 and 8

Right triangles and trigonometry
what is the length of the hypotenuse of a right triangle with legs of length 7 and 8

$$\displaystyle{a}^{{2}}+{b}^{{2}}={c}^{{2}}$$
Hence, $$\displaystyle{7}^{{2}}+{8}^{{2}}={c}^{{2}}$$
$$\displaystyle{49}+{64}={c}^{{2}}$$
$$\displaystyle{113}={c}^{{2}}$$
$$\displaystyle{c}=\sqrt{{113}}\sim{10.6}$$