Question

A right triangle has legs that are 5 cm and 7 cm long what is the length of the hypotenuse 1.√122.√243.√74 4.√144

Answer 1

3. √74

Step-by-step explanation:

By the Pythagorean theorem, the length of the hypotenuse can be calculated as:

`c=\sqrt[]{a^2+b^2}`

Where c is the hypotenuse and a and b are the lengths of the legs.

So, replacing a by 5 and b by 7, we get:

`\begin{gathered} c=\sqrt[]{5^2+7^2} \\ c=\sqrt[]{25+49} \\ c=\sqrt[]{74} \end{gathered}`

Therefore, the answer is 3. √74