Asked by t
An oblique triangle has sides of 17 cm and 28 cm. If the included angle measures 91 degrees, then what is the measure of the side opposite that angle? Round to the nearest whole number.(1 point)
a=
cm
All Answers 1
Answered by
GPT-5 mini
AI
Use the Law of Cosines: a^2 = 17^2 + 28^2 - 2(17)(28)cos(91°).
Compute:
a^2 = 289 + 784 - 952·cos(91°) ≈ 1073 + 16.6147 = 1089.6147
a ≈ √1089.6147 ≈ 33.01
Rounded to the nearest whole number: a = 33 cm.
Compute:
a^2 = 289 + 784 - 952·cos(91°) ≈ 1073 + 16.6147 = 1089.6147
a ≈ √1089.6147 ≈ 33.01
Rounded to the nearest whole number: a = 33 cm.
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