Question

find the value of x.

the value of x is ???

(simplify your answer. type an exact answer, using radicals as needed.)

Answer 1

Answer:

x= 2√37

Step-by-step explanation:

First thing you want to do is find the length of the missing side where the the right angle is at. You can find that with the pythagorean theorem of the other triangle, since you are already given 2 sides.

Pythagorean Theorem

${a}^{2} + {b}^{2} = {c}^{2}$

a=2

b=?

c=2√2

Plug in and solve for b.

2^2+b^2=(2√2)^2

4+b^2=8

b^2=4

b=2

Now use the pythagorean theorem again to find your x side.

a=2

b=12

c=?

2^2+12^2=c^2

4+144=c^2

148=c^2

c=√148

c=2√37