Question

Find the value of x.

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