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Rudiy27
3 years ago
11

Triangle ABC is an oblique triangle. If angle A equals 57°, angle B equals 73°, and AB equals 24 in, what is the length of AC?

Mathematics
1 answer:
natulia [17]3 years ago
5 0

Step-by-step explanation:

\huge{\underbrace{\overbrace{\mathfrak{\pink{Answer:}}}}}

Angle C must = [180 - 73 - 57 ] = [180 - 130] = 50°

And using rhw Law if Sines, we have.....

AB/sin C = AC/sin B → 24/sin(50) = AC/sin(73) → AC = 24*sin(73)/sin(50) = about 29.96 in

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Answers:

Choice C)  1.5 + AB = 3.7

AB = 2.2  cm

====================================================

Explanation:

Segment AC can be cut into two smaller pieces AB and BC. The piece AB is of unknown length for now, while BC is 1.5 units long.

The expression AB+1.5 or 1.5+AB represents us adding those two smaller pieces together. Doing so will lead to the length of AC.

Therefore, 1.5 + AB = 3.7 is one valid equation to set up.

------------

To solve that equation, we subtract 1.5 from both sides to undo the addition operation done to AB.

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