00015319 00015319
  • 17-03-2020
  • Geography
contestada

Find the value of x in the isosceles triangle shown below.


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

Respuesta :

elliottou
elliottou elliottou
  • 17-03-2020

Answer:

x=4

Explanation:

since it is an isosceles triangle, line x splits the base into 2 equal parts.

using a smaller triangle we know the sides are 5,3,x

now use Pythagorean theorem

[tex]5=\sqrt{x^{2} +3^{2} }[/tex]

[tex]x=\sqrt{5^{2}-3^{2} }[/tex]

x = [tex]\sqrt{16}[/tex]

x = 4, -4

since length cannot be negative, x = 4

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