HenleeN644861 HenleeN644861
  • 03-11-2022
  • Mathematics
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use the Pythagorean theorem to find the length of the hypotenuse in the Triangle

use the Pythagorean theorem to find the length of the hypotenuse in the Triangle class=

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JuliannahZ115792 JuliannahZ115792
  • 03-11-2022

Answer:

10 units

Explanation:

The Pythagorean theorem says that the hypotenuse c of a triangle is equal to:

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

Where a and b are the length of the other sides of the triangle.

So, replacing a by 6 and b by 8, we get that the hypothenuse is equal to:

[tex]\begin{gathered} c=\sqrt[]{6^2+8^2} \\ c=\sqrt[]{36+64} \\ c=\sqrt[]{100} \\ c=10 \end{gathered}[/tex]

Therefore, the length of the hypothenuse is 10 units

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