Question

Consider the following triangle.

A
13
C
B
Based on the given information, what is the measure of the missing length, c?
Enter your answer as a number like this: 42.
12

Answer 1

5

Explanation:

We will use the Pythagorean theorem to solve this problem. We know
`a^(2) + b^(2) = c^(2)`. (a, in this case, will be c) Now, we can substitute in our numbers, giving us:

`a^(2) + 12^(2) = 13^(2)`

Simplifying:

`a^(2) + 144 = 169`

Subtract 144 from both sides gives us:

`a^(2) = 25`

Square rooting both sides gives us:

`a = 5`

So, the missing measurement (c) is 5.

Hope this helped!