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Home › AP EAPCET (Engineering) › Mathematics › Properties of Triangles › Given A = 30°, a = 7 and b = 10, how many triang…

Given A = 30°, a = 7 and b = 10, how many triangles can be formed?

AZero triangles
BOnly one triangle
CTwo triangles
DInfinitely many
Answer & Solution
Correct answer: C. Two triangles
The altitude from the third vertex is 10 sin 30° = 5, and 5 < 7 < 10, so the ambiguous case gives two triangles.
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