Final answer:
The length of PQ in triangle PQR is approximately 8.6 cm.
Step-by-step explanation:
To find the length of PQ in triangle PQR, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, PQ is the hypotenuse, so we can write the equation as: PQ^2 = QR^2 + PR^2. Substituting the given values, we have: PQ^2 = 5^2 + 7^2. Simplifying, we find: PQ^2 = 25 + 49. Adding the two values, we get: PQ^2 = 74. To find the length of PQ, we take the square root of both sides: PQ = sqrt(74) cm. Using a calculator, we find that PQ is approximately 8.6 cm.