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  • 04-08-2019
  • Mathematics
contestada

What is the length of the hypotenuse of the triangle?

the 2 legs are 7 and 4

can u explain to me how to find the hypotenuse

Respuesta :

PoeticAesthetics
PoeticAesthetics PoeticAesthetics
  • 04-08-2019

To answer this question you must use Pythagorean theorem:

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

a and b are the legs (the sides that form a perpendicular/right angle)

c is the hypotenuse (the side opposite the right angle)

In this case...

a = 7

b = 4

C (the hypotenuse is unknown)

^^^Plug these numbers into the theorem

[tex]7^{2} +4^{2} =c^{2}[/tex]

49 + 16 = c²

65 = c²

To remove the square from c take the square root of both sides to get you...

c = √65

Roughly this is

c ≈ 8.06

Hope this helped!

~Just a girl in love with Shawn Mendes

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