What is the maximum number of distinct triangles that can be formed if m<A = 30, b = 8, and a = 5 (1) 1 (3) 3 (2) 2 (4) 0 Can I use law of sines to answer such questions about how many different triangles?
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Originally Posted by magentarita What is the maximum number of distinct triangles that can be formed if m<A = 30, b = 8, and a = 5 (1) 1 (3) 3 (2) 2 (4) 0 Can I use law of sines to answer such questions about how many different triangles? Hello Magentarita, Let's look at both cases: Recall that the sine of an angle is equal to the sine of its supplement. Case I (diagram 1) Case II (diagram 2) is isosceles. is supplementary to So, looks like 2 triangles can have the characteristics you describe.
Last edited by masters; January 5th 2009 at 11:53 AM.
Originally Posted by masters Hello Magentarita, Let's look at both cases: Recall that the sine of an angle is equal to the sine of its supplement. Case I (diagram 1) Case II (diagram 2) is isosceles. is supplementary to So, looks like 2 triangles can have the characteristics you describe. Is this the ambiguous case?
Originally Posted by magentarita Is this the ambiguous case? Yes, it is.
Originally Posted by masters Yes, it is. By the way, I like playing with ambiguous case trig questions.
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