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Aloiza [94]
2 years ago
11

Find the missing angle and side, A is 25 degrees, C is 90 degrees, and B is 16.

Mathematics
1 answer:
REY [17]2 years ago
8 0

The <em>missing</em> angle is B = 65° and the <em>missing</em> sides are a ≈ 7.461 and c ≈ 6.762.

<h3>How to find all missing sides and angles of the triangle</h3>

In this case, we know two angles (A = 25°, C = 90°) and a side of a triangle (b = 16) and <em>Euclidean</em> properties and the law of the sines must be used to find the rest of variables:

B = 180° - A - C

B = 180° - 25° - 90°

B = 65°

a = 16 × (sin 25°/sin 65°)

a ≈ 7.461

c = 16 × (sin 25°/sin 90°)

c ≈ 6.762

The <em>missing</em> angle is B = 65° and the <em>missing</em> sides are a ≈ 7.461 and c ≈ 6.762.

To learn more on law of sines: brainly.com/question/13098194

#SPJ1

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