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The leg of a right triangle is 3 units and the hypotenuse is 4 units. What is the length, in units, of the other leg of the triangle?

square root of 5

square root of 7

5

7

+2
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  1. 30 March, 08:21
    0
    square root of 7

    Step-by-step explanation:

    Each right angle triangle has 3 sides known as the opposite, adjacent and hypotenuse sides. The relationship between these 3 sides is as defined by pythagoras theorem which states that

    a² + b² = c²

    where a and b are the lengths of the opposite and adjacent sides (in no particular order) and c is the length of the hypotenuse side.

    Given that the leg of a right triangle is 3 units and the hypotenuse is 4 units, it means that

    a² + 3² = 4

    where a is the length in units, of the other leg of the triangle

    a² = 4² - 3

    a² = 16 - 9

    = 7

    a = √7
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