Given a = 54, b = 68, and c = 90, use the law of cosines
tofind the angleof the oblique triangle (not a righttriangle). round to
the nearest whole number.

94°

Step-by-step explanation:

Oblique triangles are of two types: acute or obtuse triangle. They are not right triangles since they have no right angle.

This question can be answer using the Law of cosines, which states that:

[1]

Where is the angle of the respective opposite side c, a and b are the other triangles' sides.

Well, since we have all the information needed to find , that is, a = 54, b = 68 and c = 90, we calculate it using the formula [1] as follows:

Solving this equation for :

(for four significant figures)

To obtain , we need to determine which angle has a For this, it is necessary the function, also expressed as

Then

degrees.

Rounding the result to the nearest whole number, the answer is 94°.

The rest of the angles can be obtained using the Law of sines.

2

step-by-2step explanation: