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In triangle ABC, AB= 15, BC=38, and AC=42. Find m

User Technext
by
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1 Answer

1 vote

Answer:

26.73 degrees

Explanation:

We can use the law of cosines to solve for angle A in triangle ABC:

cos(A) = (b^2 + c^2 - a^2) / (2bc)

where a, b, and c are the lengths of the sides opposite angles A, B, and C, respectively.

Plugging in the values we have:

cos(A) = (38^2 + 42^2 - 15^2) / (23842)

= 0.901

Taking the inverse cosine of both sides, we get:

A = cos^-1(0.901)

= 26.73 degrees (rounded to two decimal places)

Therefore, angle A has a measure of approximately 26.73 degrees.

User Rusly
by
9.0k points

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