Question

In AXYZ, YZ = 11, ZX= 5, and XY = 13. Which list has the angles of AXYZ in order from smallest to

largest?
Answer Attempt 3 out of 3
O m/Y, m/X, m/Z
O m/Y, m/Z, m/X
O m/Z, m/X, m/Y
Q Search
O m/X, m/Y, m/Z
m/X, m/Z, m/Y
m/Z, m/Y, m/X
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Answer 1

In triangle AXYZ, where YZ = 11, ZX = 5, and XY = 13, the order of the angles from smallest to largest is angle Y, angle Z, and angle X.

Step-by-step explanation:

In triangle AXYZ, we know that YZ = 11, ZX = 5, and XY = 13. To determine the order of the angles, we can use the Law of Cosines. The formula is as follows:

c^2 = a^2 + b^2 - 2ab cos(C)

Using this formula, we can find the value of angle X. Substitute the known values:

169 = 25 + 121 - 2 * 5 * 11 * cos(X)

After solving the equation, we find that cos(X) = -1/13. Since cosine is negative in quadrant II, angle X is obtuse. So, the correct order of the angles from smallest to largest is angle Y, angle Z, and angle X.

Learn more about Triangle angles