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den301095 [7]
2 years ago
5

What is the measure of angle a?​

Mathematics
1 answer:
Mkey [24]2 years ago
8 0

Answer:

38°

Step-by-step explanation:

Using the Cosine rule in Δ ABC

cos A = \frac{b^2+c^2-a^2}{2bc}

where a, b and c are the sides of the triangle.

Here a = 5, b = 3 and c = 7 , thus

cos A = \frac{3^2+7^2-5^2}{2(3)(7)} = \frac{9+49-25}{42} = \frac{33}{42} , thus

∠ A = cos^{-1} (\frac{33}{42} ) ≈ 38°

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