How do you solve right triangles with sides that have square roots for example side a is 3 side b is 3 square root 3 and the hypotenuse is x?

Answer 1

a squared plus b squared equals c squared so 3x3 + 3x3 is 54 and the square root of 54 is is the answer

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Remember the most powerful thing you know about right triangles:

(one leg)2 plus (the other leg)2 = (hypotenuse)2

You're given the lengths of both sides. Just put them in that formula, and do what

you have to do in order to get the length of the hypotenuse.

This isn't even a right triangle problem! This is an exercise to help you see

whether you know how to handle square roots. If you can't do this one, then

you need to make an appointment with the teacher, or with someone you know

who understands this stuff, and spend some time reviewing how to do the

arithmetic operations with square roots.

We're not going to show you how to do it, because doing it is the whole reason

for getting involved in this exercise. The reason you're doing it is not to get the

answer. Nobody needs the answer, and anybody who does knows how to find it.

The hypotenuse is 6. (The answer at the top is wrong.) You can use that to check

yourself when you try to do it, and see whether you've done it correctly.