Question

Unit: GeometryProgress:The movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answecFind the length of the hypotenuse in the following right triangle.a = 5h =12

Answer 1

To find the length of the hypotenuse you have to apply the Pythagorean theorem. This theorem states that the square of the hypotenuse is equal to the sum of the squares of the legs of the triangle. You can express this as:

`a^2+b^2=c^2`

For a=5 and b=12, you can calculate the length of the hypotenuse as follows:

`5^2+12^2=c^2`

Solve the exponents and add the results:

`\begin{gathered} 25+144=c^2 \\ 169=c^2 \end{gathered}`

Apply the square root to both sides of the expression:

`\begin{gathered} \sqrt[]{169}=\sqrt[]{c^2} \\ 13=c \end{gathered}`

The length of the hypotenuse is c=13 units.