Question

Determine which set of side measurements could be used to form a right triangle.

4, 8, 11
6, 8, 13
square root of 3, square root of 5, 8
square root of 3, square root of 13, 4

Answers

  1. The set of side measurements that could be used to form a right triangle is √8, 5, and √17 option (D) is correct.

    What is a right-angle triangle?

    It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
    It is given that:
    The side length of the triangle is shown in the option:
    As we know,
    Pythagoras’ theorem is the square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.
    Using Pythagoras‘ theorem:
    From option(C):
    √8, 5, and √17
    (√3)² + (√13)² = 4²
    3 + 13 = 16 (True)
    Thus, the set of side measurements that could be used to form a right triangle is √8, 5, and √17 option (D) is correct.
    Learn more about the right-angle triangle here:
    brainly.com/question/3770177
    #SPJ5

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