Asked by tori

Determine how many triangles with the following measurements can be formed: ÚA = 53‹, a = 7, b = 10.

Answers

Answered by tori
HELPP!!
Answered by Steve
Draw a triangle ABC with AB the base, and C the vertex.

You can see that C can be acute or obtuse, allowing two triangles to be constructed with base = 10 angle A=53°, and a=7.

That can also be see from the law of cosines:

c^2 = a^2 + b^2 - 2ab*cosC

cosC can be positive or negative, depending on whether C is acute or obtuse.
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