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# Find the measure of angle A in right triangle ABC if it has vertices A(1,2), B(6,2), ......?

Find the measure of anlgle A in right triangle ABC if it has vertices A(1,2), B(6,2), and C(5,4). (Hint: You’ll need trigonometry!)

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- jimmykariznovLv 61 decade agoFavorite Answer
The slope of AB is:

m1 = (2 - 2)/(6 - 1) = 0

The slope of AC is:

m2 = (4 - 2)/(5 - 1) = 1/2

So, the tangent of angle A is:

tan A = (m2 - m1)/(1 + m1*m2) = (1/2)/(1 + 0*1/2) = 1/2

Thus, A = arctan(1/2) = 26.565 deg.

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