Show by computing the three side lengths whether the triangle with vertices P(1, 1), Q(5, 1) and R(5, 4) is right-angled. What is the length of the hypotenuse PR?

Question

Accepted Answer

5. PQ = 4, QR = 3, PR = √(5-1)^2 + (4-1)^2 = √16+9 = 5. Since 3^2 + 4^2 = 5^2, it is right-angled at Q, and the hypotenuse PR = 5.

Show by computing the three side lengths whether the triangle with vertices P(1, 1), Q(5, 1) and R(5, 4) is right-angled. What is the length of the hypotenuse PR?

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