arionnelindsey
arionnelindsey arionnelindsey
  • 15-06-2018
  • Mathematics
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Determine the unknown measures of the triangle shown. Round to the nearest tenth, if necessary. x = in. y ≈ ° z ≈ °

Determine the unknown measures of the triangle shown Round to the nearest tenth if necessary x in y z class=

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wolfcon087 wolfcon087
  • 20-06-2018
First find x from the Pythagorean theorem a^2 + b^2 = c^2, where c is the hypotenuse. 

7^2 + 24^2 = c^2

49 + 576 = c^2 

c^2 = 625, so c = 25

Then to figure out y and z you need to use inverse trigonometric functions.

Use arctan(7/24) = y = 16.3 degrees and arctan(24/7) = z = 73.7 degrees.
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bjmccooly bjmccooly
  • 08-03-2022

Answer: x= 25 y=16.3 z=73.7

Step-by-step explanation:

your welcome

Answer Link

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