The vertices of a triangle are a(7,5) b(4,2) and c(9,2) what is mabc

The measure of ∠ABC  is 45°.

Step-by-step explanation:

Given : The vertices of a triangle are A(7,5) B(4,2) and C(9,2).

To find : What is ∠ABC ?

Solution :

First we side the length of the sides,

Using Distance formula,

Length of side AB, A(7,5) and B(4,2)

Length of side BC, B(4,2) and C(9,2)

Length of the side AC, A(7,5) and C(9,2)

By the Law of Cosines,

Substitute the values,

Taking Inverse Cosine function,

Therefore, The measure of ∠ABC  is 45°.

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