# How do you find the length of the missing side given a=19 b=? c=26?

##### 1 Answer

Jul 3, 2016

#### Explanation:

We need to use the Pythagorean Theorem:

The hypotenuse (c=26) and one of the legs (a=19) are known, so all we have to do is solve for b. We can do that by plugging in our known values:

Thus,

-361 -361

You should end up with:

Next, take the square root of both sides to find b. The square root

(

Therefore, **b = 17.74**

You can check your answer by plugging a and c into the equation and solve for b to see if your answer matches the given value of b: