Question

Two legs of a triangle each measure 10 inches. Find the length of the hypotenus rounded to the nearest tenths. (please help me)

Answer 1

The relation between the legs and the hypotenuse in the right triangle is

`(\text{leg}1)^2+(leg2)^2=(hyp.)^2`

Since leg1 = leg2 = 10 inches

`\begin{gathered} (10)^2+(10)^2=(hyp)^2 \\ 100+100=(hyp.)^2 \\ 200=(\text{hyp}\mathrm{})^2 \end{gathered}`

Take a square root for both sides

`\begin{gathered} \sqrt[]{200}=hyp. \\ 14.142135\text{ = hyp.} \end{gathered}`

Round it to the nearest tenth

hypotenuse = 14.1 inches