ptnwilder ptnwilder
  • 24-04-2020
  • Mathematics
contestada

If I have a triangle with a leg of 4 and a leg of 3 what is the length of the hypotenuse

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FlandyActive
FlandyActive FlandyActive
  • 24-04-2020

Answer:

5

Step-by-step explanation:

To solve for hypotenuse we use the Pythagorean theorem:

[tex]a^2+b^2=c^2[/tex]

In this theorem:

c= hypotenuse

a = leg

b = leg

Substitute into theorem:

[tex]4^2+3^2=c^2[/tex]

[tex]16+9=c^2[/tex]

[tex]25=c^2[/tex]

(square root both sides)

[tex]5=c[/tex]

Therefore the hypotenuse has a length of 5.

Please say thanks if correct :)

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