Gamingirl9590 Gamingirl9590
  • 22-10-2021
  • Mathematics
contestada

in the right triangle, the legs have lengths 5 and 7 . Express the length of the hypotenuse in radical form?

Respuesta :

theleangreenbean
theleangreenbean theleangreenbean
  • 22-10-2021

Answer:

[tex]\sqrt{74}[/tex] units

Step-by-step explanation:

Hi there!

We can use the Pythagorean theorem to solve this question:

[tex]a^2+b^2=c^2[/tex] where a and b are the two legs and c is the hypotenuse

Plug in the two legs 5 and 7 and solve for c, the hypotenuse:

[tex]5^2+7^2=c^2\\25+49=c^2\\74=c^2\\c=\sqrt{74}[/tex]

Therefore, the length of the hypotenuse in radical form is [tex]\sqrt{74}[/tex] units.

I hope this helps!

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