Question

in the right triangle, the legs have lengths 5 and 7 . Express the length of the hypotenuse in radical form?

Answer 1

`√(74)` units

Explanation:

Hi there!

We can use the Pythagorean theorem to solve this question:

`a^2+b^2=c^2` where a and b are the two legs and c is the hypotenuse

Plug in the two legs 5 and 7 and solve for c, the hypotenuse:

`5^2+7^2=c^2\\25+49=c^2\\74=c^2\\c=√(74)`

Therefore, the length of the hypotenuse in radical form is
`√(74)` units.

I hope this helps!