Question

The lengths of the legs of a right triangle are given. Find the hypotenuse.a =8. b = 15The length of the hypotenuse, C, is

Answer 1

Concept:

To solve the length of the hypotenuse, we will use the Pythagoras theorem below

`\begin{gathered} hypotenus^2=opposite^2+adjacent^2 \\ c^2=a^2+b^2 \\ where, \\ a=8 \\ b=15 \end{gathered}`

By substituting the values, we will have

`\begin{gathered} c^(2)=a^(2)+b^(2) \\ c^2=8^2+15^2 \\ c^2=64+225 \\ c^2=289 \\ c=√(289) \\ c=17 \end{gathered}`

Hence,

The length of hypotenuse C , is

`\Rightarrow c=17`