Question

6. A right triangle has legs of 4 and 5. What is the hypotenuse? Show your work.

Answer 1

Given:

The leg of 4 and 5

Find-:

The value of the hypotenuse

Explanation-:

The right triangle is:

Let the Hypotenuse is "x."

Use Pythagores theorm is:

`\text{ Hypotenuse}^2=(\text{ Leg}_1)^2+(\text{ Leg}_2)^2`

So the value of "x" is:

`\begin{gathered} x^2=4^2+5^2 \\ \\ x^2=16+25 \\ \\ x^2=41 \\ \\ x=√(41) \end{gathered}`

So value of hypotenuse is:

`\begin{gathered} =√(41) \\ \\ \approx6.403 \end{gathered}`