pqr is a right triangle. If RQ = 8, what is PQ?
To find the length of PQ, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
Let's denote PQ as 'a', QR as 'b', and PR as 'c'. According to the Pythagorean theorem, we have the following equation:
a^2 + b^2 = c^2
Since pqr is a right triangle, one of the angles is 90 degrees. This means that PR is the hypotenuse.
In the given question, it is mentioned that RQ = 8, so we have b = 8.
Substituting the values into the equation above, we get:
a^2 + 8^2 = c^2
Simplifying this equation, we have:
a^2 + 64 = c^2
However, without more information, we cannot directly find the exact value of a or c. We can find the relationship between a and c, but not their exact values.
If you have any additional information or measurements about the triangle pqr, please provide them, and we can proceed with finding more accurate values for the sides.