Question

Given oblique △XYZ, x=10m, y=12m. and z=14m. What is the measure of Z?

Answer 1

To find the measure of angle Z in the given oblique triangle XYZ, we can use the Law of Cosines.

Step-by-step explanation:

In the given oblique triangle XYZ, the lengths of the sides are x = 10m, y = 12m, and z = 14m. To find the measure of angle Z, we can use the Law of Cosines. The formula is:

z^2 = x^2 + y^2 - 2xy * cos(Z)

Substituting the given values, we have:

14^2 = 10^2 + 12^2 - 2 * 10 * 12 * cos(Z)

Solving for cos(Z) gives:

cos(Z) = (10^2 + 12^2 - 14^2) / (2 * 10 * 12)

Using a calculator, we can find the value of cos(Z) and then use the inverse cosine function to find the measure of angle Z.