Determine the unknown measures of the triangle shown. round to the nearest tenth, if necessary. x = in. y ≈ ° z ≈ °

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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