3. In AABC, a = 35, c = 25, and m can be drawn given these measurements?

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02-08-2022
Mathematics

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3. In AABC, a = 35, c = 25, and m can be drawn given these measurements?

Sagot :

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tanvigupta426 tanvigupta426 · Answer 1 · 2022-08-08T10:59:09-04:00

Only one triangle possible with angle 38.2° at C.

According to the given statement

we have to seek out that the measurement of m with the help of the a and c.

Then for this purpose, we all know that the

The ambiguous case occurs when one uses the law of sines to see missing measures of a triangle when given two sides and an angle opposite one in every of those angles (SSA).

According to the this law

The equation become

35/sin(60) = 25/sinC

sinC = 0.6185895741

C = 38.2, 141.8

Since 141.8+60 = 201.8 > 180

It will not form a triangle.

So, only 1 triangle possible with angle 38.2° at C

Learn more about ambiguous case here

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Question:

Law of Sines and the Ambiguous Case.

In ∆ ABC, a =35, c = 25, and m < A = 60*

How many distinct triangles can be drawn given these measurements?

Sagot :

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