dzeller808
dzeller808 dzeller808
  • 11-08-2020
  • Mathematics
contestada

Find the missing side of the triangle. A. 321−−−√ yd B. 221−−−√ yd C. 338−−√ yd D. 21−−√ yd

Find the missing side of the triangle A 321 yd B 221 yd C 338 yd D 21 yd class=

Respuesta :

akposevictor
akposevictor akposevictor
  • 16-08-2020

Answer:

[tex] x = \sqrt{221} yd [/tex]

Step-by-step explanation:

Use Pythagorean theorem to find x.

Thus, the sum of the square of the lengths of two legs of a right triangle equal the square of the hypotenuse, which is the longest side.

Thus,

[tex] x^2 = 11^2 + 10^2 [/tex]

[tex] x^2 = 121 + 100 [/tex]

[tex] x^2 = 221 [/tex]

[tex] x = \sqrt{221} yd [/tex]

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