sayago1906
sayago1906 sayago1906
  • 31-07-2021
  • Mathematics
contestada

Find the value of x in the isosceles triangle shown below.
2
2
5
8

Find the value of x in the isosceles triangle shown below 2 2 5 8 class=

Respuesta :

swan2414 swan2414
  • 31-07-2021

Answer:

[tex]\sqrt{41}[/tex]

Step-by-step explanation:

think of this triangle being made up of 2 triangles with the lengths of 5, 4, and x.

x being the hypotenuse, 5 being one of the legs, and 4 being one of the legs. (8/2).

pythagorean theorem:

a^2 + b^2 = c^2

5^2 + 4^2 = x^2

25 + 16 = x^2

41 = x^2

x = sqrt 41

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