Question

Find the side length of X

Answer 1

7√3

Explanation:

We can use pythagoreans theorem to solve this

Since, we know one side, and the hypotenuse, we can solve for the other side.

Pythagoreans theorem: a²+b²=c²

Where a and b are two sides, and c is the hypotenuse (the side opposite of the right angle)

In this triangle, 7 is the side, and 14 is the hypotenuse.

I will plug in the values into pythagoreans theorem, and then simplify:

`a^(2)+b^(2) =c^(2) \\\\7^(2) +x^(2) =14^(2) \\\\49+x^(2) =196\\\\x^(2) =147\\\\x=√(147) \\\\x=√(49*3 )\\\\ x=\sqrt{7^(2) *3 }\\\\x=7√(3)`

So x = 7√3