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20 April, 06:13

The side on a clip board appears to be a right triangle. The leg lengths are 2 millimeters and 2.1 millimeters and the hypotenuse is 2.9 millimeters. Is the side of the clip a right triangle?

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  1. 20 April, 06:37
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    Yes, it is a right angle triangle

    Step-by-step explanation:

    Let leg lengths be y and z

    Y = 2mm

    Z = 2.1mm

    Let x represent hypothenus

    X = 2.9mm

    To find out if it's a right angle triangle, we'll use pythagorean theorem since it's true for all right angle triangles I. e the square of the hypothenus is equal to the square of both sides (opposite and adjacent)

    x² = y² + z²

    x² = 2² + 2.1²

    x² = 4 + 4.41

    x² = 8.41

    Take the square root of both sides

    x = √ (8.41)

    x = 2.9mm

    Therefore since the square of two other sides equal the square of the hypothenus, the side of the clip is a right angle triangle
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