To the nearest hundredth, what is the measure of line segment rt?

9.75

Step-by-step explanation:

To solve for RT, we use the Pythagorean Theorem. aka, a^2+b^2=c^2. We know a and c, but not b. That's okay because we can plug in what we do know and solve. We now get 7^2+b^2=12^2, or 49+b^2=144. We can subtract 49 from both sides to get b^2=95. Now, to get b by itself, we must do the opposite of squaring, which is the square root. Putting the square root of 95 into a calculator and rounding to the nearest hundredth, we get b=9.75. So, the length of RT is 9.75