Question 1204443: Find the area of the triangle with the given measurements. Round your answer to the nearest tenth. Assume 𝛼 is opposite side a, 𝛽 is opposite side b, and 𝛾 is opposite side c.
b = 17, c = 9, 𝛼 = 34°
Answer by math_tutor2020(3817)   (Show Source):
You can put this solution on YOUR website!
I'll use A,B,C in place of alpha,beta,gamma.
Given info is:
b = 17
c = 9
A = 34 degrees
Angle A is between sides b and c.
We can use the side angle side (SAS) area formula for a triangle.
area = 0.5*side1*side2*sin(angle between those sides)
area = 0.5*b*c*sin(A)
area = 0.5*17*9*sin(34)
area = 42.7782571155121
area = 42.8
Your calculator needs to be in degree mode.
Answer: 42.8 square units (approximate)
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