precious0662 precious0662
  • 03-03-2020
  • Mathematics
contestada

A right triangle has legs with the lengths of 2 and 5, find the length of the hypotenuse

Answer Choices:
√21


√3


√7


√29

Respuesta :

calculista
calculista calculista
  • 11-03-2020

Answer:

[tex]\sqrt{29}\ units[/tex]

Step-by-step explanation:

we know that

In a right triangle

Applying the Pythagorean Theorem

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

where

c is the hypotenuse (the greater side)

a and b are the legs (perpendicular sides)

In this problem we have

[tex]a=2\ units\\b=5\ units[/tex]

substitute

[tex]c^2=2^2+5^2[/tex]

[tex]c^2=29[/tex]

[tex]c=\sqrt{29}\ units[/tex]

Answer Link

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