sweetheart8282 sweetheart8282
  • 24-02-2021
  • Mathematics
contestada

9 cm and the other leg measures 11 cm. Find the measure of the hypotenuse. If necessary, round to the nearest tenth.

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sandlee09
sandlee09 sandlee09
  • 25-02-2021

Answer:

14.2 cm

Step-by-step explanation:

The hypotenuse of a triangle is measured using the pythagorean theorem. This formula sums up the squares of both legs of the triangle which would give the squared value of the hypotenuse. Therefore, we can then square root that value to find the hypotenuse. This would be the following...

[tex]9^{2} + 11^{2} = x^{2}[/tex]

81 + 121 = [tex]x^{2}[/tex]

202 = [tex]x^{2}[/tex]

14.21 = [tex]x^{2}[/tex]

Finally, we can see that the value of the hypotenuse is 14.2 cm

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