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

2 answers

HELPP!!
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.