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In triangle XYZ, given \( z = 6.4 \) inches and \( y = 6.2 \) inches, what is the measurement of angle X? (Round the answer to the nearest tenth of a degree.)

Answer :

Final answer:

The measurement of angle X in triangle XYZ can't be calculated merely from the lengths of sides y and z. Additional information such as a third side or a known angle are required to answer this.

Explanation:

In triangle XYZ, we're given that the length of side y is 6.2 inches, side z is 6.4 inches, but the size of angle X is unknown. Because we do not have enough information solely with two side lengths, the measurement of angle X can't be calculated without additional information. More details like a known angle or whether the triangle is a special type (for example, right, isosceles or equilateral) would be required.

Generally, if we know a third side, we could apply the Cosine Rule. If we know that the triangle is a right triangle, we could use trigonometric functions for instance: sine, cosine, or tangent to find the unknown angle.

In this case, lacking such data, the exact measure of angle X remains undeterminable with the given information.

Learn more about Cosine Rule:

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