Answer:
I'm assuming you're trying to find the length of PQ.
If so, your answer is 48.
Step-by-step explanation:
First, you need to use the Pythagorean theorem to determine this.
The formula is a² + b² = c²
a is always the shortest leg, so a is your PR line. That means a = 14.
b is the variable you're trying to find, so you leave that as is.
c is always your hypotenuse, meaning c = 50.
Given that, you can plug those numbers into the formula and solve.
14² + b² = 50²
First, we need to so those exponents.
14² = 196
50² = 2500
Now we have:
196 + b² = 2500.
We need to get b² by itself on one side of the equal (=) sign, so we now need to subtract 196 from 2500 to get b² alone.
2500 - 196 = 2304
So we now are left with:
b² = 2304
Finally, we need to get rid of the exponent above b. To do that, you need to square root both sides of the equal (=) sign.
√b² = √2304
Put that in your calculator and you should have your answer:
b = 48
