Practice Law Of Sines & Law Of Cosines (10) - Properties of Triangles - IB 10 Mathematics

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9 questions

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6 questions · about 4 min · pass mark 70%. Hints available.
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3 questions · about 2 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
Using the Law of Sines, if A = 40°, a = 8, and B = 60°, find b.
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Use the formula \\( \\frac{a}{\\sin(A)} = \\frac{b}{\\sin(B)} \\)
Question 2.
What does the Law of Cosines help us find?
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Think about situations involving two sides and an included angle!
3Question 3.
What is the formula for the Law of Sines?
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Think of the sine ratio relating sides to angles.
4Question 4.
The Law of Cosines can be used to find which of the following in a triangle?
- Only angles
- Only sides
- Both sides and angles
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Consider which relationships it provides.
Question 5.
A triangle has sides a = 7, b = 12, and angle A = 40°. Use the Law of Cosines to find side c.
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Make sure to calculate cos(40°) first for an accurate result.
Question 6.
Using triangle ABC with a = 15, A = 60°, and c = 10, apply the Law of Sines to solve for angle B.
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You might need to find angle C first before solving for angle B.

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