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Sagot :

HoOsKyidn

Answer:

7.2

Step-by-step explanation:

[tex]A^{2} + B^{2} =C^{2} \\6^{2} +4^{2} =C^{2}\\6^{2} = 36\\4^{2} =16\\36+16= 52\\\sqrt{52} = 7.2[/tex]

NoproblemNPidn

Given:

Base length of triangle = 6 units

Height of triangle = 4 units

To find:

Length of hypotenuse of triangle

Steps:

Pythagoras theorem states that,

A² + B² = C²

Here A and B represent height and length of triangle, and C represents the hypotenuse of the triangle.

So, implementing our measurements we get

A = 6 units

B = 4 units

C =  C units

    A² + B² = C²

     6² + 4² = C²

    36 + 16 = C²

           52 = C²

         [tex]\sqrt{52} = \sqrt{C^{2} }[/tex]

[tex]\sqrt{2 * 2*13} = C[/tex]

       [tex]2\sqrt{13} = C[/tex]

            [tex]C = 2\sqrt{13}[/tex]

         [tex]\sqrt{13} = 3.6[/tex]

            [tex]C = 2 * 3.6[/tex]

            [tex]C = 7.2[/tex] units

Therefore, the length of the Hypotenuse of the triangle or the length of C is 7.2 units

HAPPY TO HELP :)

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