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Jennifer made these measurements on ABC,BC must be-?

Jennifer made these measurements on ABC,BC must be-?-example-1

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Answer:

between 10 and 12

Explanation:

Given the measure of angles:

m∠B = 70°

m∠C = 60°

m∠A = 50°

  • We know m∠B = 70° because the sum of interior angles in a triangle is equal to 180°.

Following this information, since the side lengths are directly proportional to the angle measure they see:

Angle B is the largest angle. Therefore, side AC is the longest side of the triangle since it is opposite of the largest angle.

Angle C is the smallest angle, so the side AB is the shortest side.

Therefore, side BC must be between 10 and 12 inches.

User Stefan Bollmann
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