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  • 18-05-2021
  • Mathematics
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The lengths of the legs of a right triangle are 6 cm and 8 cm What is the length of the hypotenuse?

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840060
840060 840060
  • 18-05-2021

Answer:

The hypotenuse is 10 cm long.

Step-by-step explanation:

We can find the hypotenuse by using the following formula where "c" is the length of the hypotenuse and "a" and "b" are the lengths of the legs.

[tex]c = \sqrt{a^{2} + b^{2} }[/tex]

Now we just substitute the values and get...

[tex]c = \sqrt{a^{2} + b^{2} }\\c = \sqrt{6^{2} + 8^{2} } \\c = \sqrt{36 + 64} \\c = \sqrt{100} \\c = 10[/tex]

Therefore the hypotenuse is 10 cm long.

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