In order to apply the law of cosines to find the measure of an interior angle, it is enough to know which of the following?

a. the lengths of all three sides of a triangle

Step-by-step explanation:

To find the measure of an interior angle, you need to know three sides of the triangle.

Let me explain with the cosine formula.

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

Here a, b, c are the sides of the triangle and C is an interior angle.

Form the above formula, we can find C.

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

Therefore, we need three sides to find an interior angle using the cosine formula.

Hope this will helpful.

Thank you.

answer:

your answer is: c. 196 7/8 in^3.

18 units²

step-by-step explanation:

first let's find altitude bd using the distance formula

d = √((y₂ - y₁)² + (x₂ - x₁)²)

bd = √((0 - -3)² + (0 - 3)²)

bd = √18

given the placement of points a and c, we can denote that point d bisects segment ac.

we will call ac the base.

using the distance formula

ac = √((0 - 6)² + (-6 - 0)²)

ac = √72

knowing our base and our height, we can plug these into our triangle area formula

area = (b * h)/2

area = (√18 * √72) / 2

area = (√1296) / 2

area = 36 / 2

area = 18 units²