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almond37 [142]
3 years ago
14

Can someone help me with this one??

Mathematics
2 answers:
Savatey [412]3 years ago
7 0

Answer:

c = 9.43 and angle B = 32

Step-by-step explanation:

Find side c:

a^2 + b^2 = c^2

5^2 + 8^2 = c^2

25 + 64 = c^2

89 = c^2

√89 = c

c = 9.43

Find angle B:

angle A + angle B + Angle C = 180

58 + 90 + B = 180

148 + B = 180

B = 180 - 148

angle B = 32

kakasveta [241]3 years ago
5 0

Answer:

Side C = 9.43       Angle B = 32 degrees

Step-by-step explanation:

Measure C = 90 because right triangle.

Triangle sum theorem = 180 - 90 - 58 = 32

Angle B = 32 degrees

We can use sine to find side length c

Sin = oppsoite/hypotenuse

Sin 58 = 8/x

x = 9.43

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