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julia-pushkina [17]
3 years ago
11

Will give brainliest! How many distinct triangles can be made? I think I have to first find the measure of length b and then com

pare measure a with b and h to find the answer. Please help me out on how to find measure length b

Mathematics
1 answer:
Anarel [89]3 years ago
5 0
Check the picture below.

this is a case of the ambiguous case with an SSA, AC and CB are the sides and the angle is at A.

the ambiguous case has two triangles, the case when B is acute, CB sticks out, and the case when B is obtuse, CB sticks inside, it just so happen that those two angles for B are "supplementary" angles.

if you check the sin⁻¹ of that, we'll get the acute version of B, that's because of the constraints on the range of the inverse sine function, and we get ∡B ≈ 36.86989765°.

and of course, the other angle for B will be 180 - 36.86989765.

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