gjsjxjdsk gjsjxjdsk
  • 04-05-2021
  • Mathematics
contestada

Find the hypotenuse of a right triangle if the legs are 22 and 26. Round to nearest hundredth

Respuesta :

Izzan2008 Izzan2008
  • 04-05-2021

Answer:

Step-by-step explanation:

length of Legs of the right angle triangle = 22 (unit) and 26 (unit)

To find the length of hypotenuse of the right angle triangle, we have to use Pythagoras property

Lets keep hypotenuse as "h" and one leg as  "a" and another as "b"

[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]h^{2}[/tex]

[tex]22^{2}[/tex] + [tex]26^{2}[/tex] = [tex]h^{2}[/tex]

484 + 676 = [tex]h^{2}[/tex]

[tex]h^{2}[/tex] = 1,160

h = [tex]\sqrt{1,160}[/tex]

h = 34.05 (unit)

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