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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
In triangle ABC, a = 3, b = 5, and c = 7. find the measure of B.
Solution:
Let's find the measure of ∠B.
Explanation:
Given a = 3, b = 5, and c = 7.
To find the measure of angle B, we will use Law of Cosine.
Substitute these values in the formula of law of cosines,
⇒ b2 = c2 + a2 - 2ca cos B
⇒ 52 = 72 + 32 - 2 ( 7 × 3) cos B
⇒ 25 = 49 + 9 - 2 (21) cos B
⇒ 25 = 58 - 42 cos B
⇒ 42 cos B = 58 - 25
⇒ 42 cos B = 33
⇒ cos B = 33 / 42
⇒ B = cos-1 33 / 42
⇒ B = cos-1 (0.7856)
⇒ B = 38. 22º
Therefore, the measure of B is 38.22º.
In triangle ABC, a = 3, b = 5, and c = 7. find the measure of B.
Summary:
In triangle ABC, a = 3, b = 5, and c = 7. The measure of B is 38.22º.
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