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rosijanka [135]
3 years ago
12

Anna, Ben, and Cathy are having a treasure hunt. They head off in three different directions to start looking for treasure. Afte

r some time, their distances from each other form triangle ABC as shown. Which two friends are farthest apart? a triangle where the measure of angle A, representing Anna, is unknown; angle B, representing Ben, measures 55°; and angle C, representing Cathy, measures 50° A. Anna and Cathy B. Anna and Ben C. Ben and Cathy D. All three are the same distance apart.

Mathematics
1 answer:
Olegator [25]3 years ago
3 0

Answer: C. Ben and Cathy

Step-by-step explanation:

The diagram showing the triangle ABC is shown in the attached photo.

a represents the distance between Ben and Cathy.

b represents the distance between Andy and Cathy

c represents the distance between Andy and Ben,

The unknown angle A is determined by subtracting the sum of angle B and angle C from 180 degrees. This is because the sum of angles in a triangle is 180 degrees.

Angle A = 180 - (55 + 50)

= 180 - 105 = 75 degrees.

75 degrees is the biggest angle and thus, the farthest distance. It corresponds to a, the distance between Ben and Cathy.

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