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## State whether the given measurements determine zero, one, or two triangles.

The best way to solve this is to use the laws of sine and laws of cosine.

We can use law of sine when we know at least one angle and two sides, or at least one side and two angle measures.

Remember this:

Side a is opposite to angle A.

Side b is opposite to angle B.

Side c is opposite to angle C.

Law of sine is defined by

a / sin(A) = b / sin(B)

Law of cosine is defined by

c2 = a2 + b2 -2abCos(C)

Okay, now that you know how to use these laws, lets apply them.

We are given angle B and side b. Use law of sine to find Angle C because we know side c.

28 / Sin(84) = 25 / Sin(C)

Once you have C, you add the values of C and B. Subtract their sum from 180 to find the third angle. Three angles gets us a triangle.

Use the other laws to find the other two missing sides.

If we have one triangle, then we can draw line segments inside the triangle to obtain more triangles.

But these measurements alone is enough to determine one triangle.

Triangle calculator – For example, from the given area of the triangle and the corresponding side, the appropriate height is calculated. From the known height and angle, the adjacent side, etc., can be calculated. They use knowledge, e.g., formulas (relations) Pythagorean theorem, Sine theorem, Cosine theorem, Heron's formula, solving equations and systems of equations.Answer: 2 📌📌📌 question State whether the given measurements determine zero, one, or two triangles. C = 30°, a = 28, c = 14 (2 points) OTwo Zero o One – the answers to estudyassistant.comState whether the given measurements determine zero, one, or two triangles. A = 80°, a = 24, b = 50 – 10166657

State whether the given measurements determine zero, one – State whether the given measurements determine zero, one, or two triangles. C = 37°, a = 16, c = 14. 0 votes. State whether the given measurements determine zero, one, or two triangles. C = 30°, a = 32, c = 16. asked Jul 31, 2014 in TRIGONOMETRY by Tdog79 Pupil.Worksheet #2 – Ambiguous Case State whether the given measurements determine zero, one, or two triangles. 1. A 36 ,a 2,b 7 2. C 36 ,a 17,c 16 No Triangles Two Triangles 3. C 30 ,a 18,c 9 4. B 88 ,b 14,c 62 One Triangle No Triangles Two triangles can be formed using the given measurements. Solve both triangles. 5.Question: State Whether The Given Measurements Determine Zero, One, Or Two Triangles. A = 53°, A = 20, B = 24 A = 53°, A = 20, B = 24 This question hasn't been answered yet

State whether the given measurements determine zero, one – Given the size of 2 sides (a and c where a < c) and the size of the angle A that is not in between those 2 sides you might be able to calculate the sizes of the remaining 1 side and 2 angles, depending on the following conditions. For A ≥ 90° (A ≥ π /2): If a ≤ c there there are no possible trianglesState whether the given measurements determine zero, one, or two triangles. C = 30°, a = 28, c = 14 a. One b. Zero c. Two?Question: State whether the given measurements determine zero, one, or two triangles. C = 30°, a = 28, c = 14