Question

Triangle mnp has vertices n(2, 2) and p(0, â€"2). the triangle is symmetric about the y-axis. what is the approximate measure of the largest angle in the triangle? 53.1° 60.0° 63.4° 83.6°

Answer 1

The approximate measure of the largest angle in the triangle is of:

θ = 63.4º.

How to obtain the measure of the largest angle?

The vertices of the triangle are given as follows:

N(2,2) and P(0,-2).

The triangle is symmetric over the y-axis, hence the remaining vertex is given as follows:

M(-2,2).

The side lenghts of the triangle are given as follows:

• MN = 4.

• MP = PN = 4.47.

The height of the triangle is of:

4 units.

Hence the base angle is:

• Adjacent to a side of length 2 units.

• Opposite to a side of length 2 units.

The tangent is:

tan(θ) = opposite side/adjacent side

Hence:

tan(θ) = 4/2

tan(θ) = 2

θ = arctan(2)

θ = 63.4º.

The diagram given by the image at the end of the answer represents the situation.

More can be learned about the trigonometric measures at https://brainly.com/question/4372174

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