The length of one side of a right triangle is 24 cm and the length of its hypotenuse is 40 cm. Find the length of its third side.

The length of one side of a right triangle is 24 cm and the length of its hypotenuse is 40 cm. Find the length of its third side.

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2 thoughts on “The length of one side of a right triangle is 24 cm and the length of its hypotenuse is 40 cm. Find the length of its third side.”

  1. Question :

    The length of one side of a right triangle is 24 cm and the length of its hypotenuse is 40 cm. find the length of its third side.

    Answer :

    Length a one side of a right triangle is – 24 cm.

    Length of its hypotenuse is – 40 cm.

    Find :

    The length of its third side – ?

    Solve :

    We considered –

    AC = 40 cm

    BC = 24 cm.

    By using Pythagoras theorem :

    AB² + BC² = AC²

    24² + BC² = 40²

    576 + BC² = 1600

    BC² = 1600 – 576

    BC² = √1024

    BC² = √32

    BC² = 32

    So, the length of its third side is 32 cm.

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  2. Answer:

    QUESTION:

    The length of one side of a right triangle is 24 cm and the length of its hypotenuse is 40 cm. Find the length of its third side.

    Given:

    Length of one side of a right triangle = 24 cm

    Hypotenuse = 40 cm

    R.T.F:

    The length of its third side

    SOLUTION:

    BY PYTHAGORAS THEOREM,

    [tex]AC {}^{2} =AB {}^{2} +BC {}^{2} \\ 40 {}^{2} \: \: \: = 24 {}^{2} + BC {}^{2} \\ 1600 \: = 576 + BC {}^{2} \\ BC {}^{2} \: = 1600 – 576 \\ BC {}^{2} \: =1024 \\ BC \: \: \: = \sqrt{1024} \\ BC \: \: \: = \: 32[/tex]

    Length of third side is 32cm.

    HOPE IT HELPS YOU:)

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