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17 November, 08:11

Suppose the hypotenuse of a right triangle is 8 cm and one of the legs is 5 cm. Use the Pythagorean Theorem to find the measure of the triangle's other leg. Round the measure to the nearest whole number.

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  1. 17 November, 08:30
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    Base, B is 6cm.

    Step-by-step explanation:

    Pythagoras theorem states that, in a right-angled triangle (ABC), the square of the hypotenuse (C) is equal to the sum of squares of the other two sides (AB).

    Mathematically, it is given by the equation;

    Adjacent² + Base² = Hypotenuse²

    A² + B² = C²

    Given from the question, C = 8cm, A = 5cm and B = x (unknown)

    Substituting the parameters into the equation we have;

    5² + x² = 8²

    25 + x² = 64

    x² = 64 - 25

    x² = 39

    Taking the square root of both sides, we have;

    x = 6.25cm

    To the nearest whole number x equals 6cm.

    Hence, B = 6cm
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