# How do you use the Pythagorean Theorem to find the missing side of the triangl given: Side one: 7, Side two: 24, Side three: c?

Jul 2, 2016

Side c = 25

#### Explanation:

To solve this problem, we should use the Pythagorean Theorem:

Based on the photo above, I'll just say that a=7 and b=24 so you can follow along.

Both of the legs (a and b) are known. We do not know c, but it can be found by plugging in our known values:

${7}^{2} + {24}^{2} = {c}^{2}$

${7}^{2}$ or $7 \times 7$ = 49
${24}^{2}$ or $24 \times 24$ = 576

Thus, $49 + 576 = {c}^{2}$. Now, add both numbers on the left side together and that will equal ${c}^{2}$
$625 = {c}^{2}$

Take the square root of both sides to find c. The square root
(sqrt) is the inverse of the square (${c}^{2}$)

$\sqrt{625} = \sqrt{{c}^{2}}$

Therefore, 25 = c