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Helga
2 months ago
15

Calculate the side lengths a and b to two decimal places. Will give five stars and brainliest to the first answer!!!!! Need help

ASAP.

Mathematics
2 answers:
Inessa [12.5K]2 months ago
7 0

Response:

Applying the Sine Rule, which articulates that

\frac{a}{Sin A}=\frac{b}{Sin B}=\frac{c}{SinC}

In triangle ABC

∠A +∠B+∠C=180°→→Triangle Angle Sum Property

72°+85°+∠C=180°

∠C=180° - 157°

∠C= 23°

All angle measurements are in degrees.

\frac{a}{Sin 72}=\frac{b}{Sin 85}=\frac{6.2}{Sin 23}

Utilizing the sine table to determine sine values

Sin 72°= 0.9510

Sin 85°=0.996

Sin 23°=0.390

\frac{a}{0.951}=\frac{b}{0.996}=\frac{6.2}{0.390}\\\\ a=\frac{6.2 * 0.951}{0.390}= 15.118\\\\ b=\frac{6.2 * 0.996}{0.390}=15.833

Among the five choices,[ [TAG_37]]

Choice E: a= 15.09 and b=15.81  is approximately correct.

zzz [12.3K]2 months ago
5 0

Response:

As previously mentioned, it's 1509 and 1581Here’s a step-by-step breakdown:

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