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BlackZzzverrR [31]
3 years ago
15

B is the midpoint of line segment AC. Line segment AB=2x+4 and line segment AC=40. Find x and Line Segment BC.

Mathematics
1 answer:
Alex17521 [72]3 years ago
8 0

Because B is the midpoint of AC and AB = 2x + 4, BC must also be 2x + 4. So you add 2x + 4 to 2x + 4 to get 4x + 8. Then you set that to be equal to 40. Then you subtract 8 from both sides to get 4x = 32 and divide by 4 so you end up with x = 8.

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First, we need to determine whether this is a right or non-right triangle.

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180-(40+88)=180-128=52

The 52 indicates that it is a non-right triangle, so we must rely on either the law of sines or law of cosines to find the measure of b.

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\frac{sin 40}{15}=\frac{sin 88}{b}\\ \\ 15*sin 88=b * sin 40\\\\b=\frac{b*sin 40}{sin 88}\\ \\b=23.3216=23.3

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