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25 February, 00:01

Select the procedure that can be used to show the converse of the

Pythagorean theorem using side lengths chosen from 6 cm, 9 cm, 12 cm, and 15 cm.

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  1. 25 February, 00:23
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    Therefore the hypotenuse of the triangle is 15 cm and other two sides of the triangle are 9 cm and 12 cm and one angle of the triangle is 90°.

    Step-by-step explanation:

    Pythagorean Theorem: According to this theorem the result obtained by squaring the value of the hypotenuse of a right angled triangle is equal to the sum of the squares of the values other two sides of the triangle.

    Hypotenuse = h

    Altitude = l

    Base = b

    l²+b²=h²

    Here 6²=36

    9²=81

    12²=144

    15²=225

    From the above it is clear that

    81+144=225

    ⇒9²+12²=15²

    Therefore the hypotenuse of the triangle is 15 cm and other two sides of the triangle are 9 cm and 12 cm and one angle of the triangle is 90°.
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