$ 0 0 Question 1:What is the formula for the area of a triangle using trigonometry? (A) (1/2) × a × b × sin(C) (B) (1/2) × a × b × cos(C) (C) (1/2) × a × b × tan(C) (D) (1/2) × a × b × cot(C) Question 2:If two sides of a triangle are 8 cm and 10 cm, and the included angle is 30°, what is the area? (A) 40 cm² (B) 20 cm² (C) 10 cm² (D) 16 cm² Question 3: What is the maximum value of sin(C) in the formula for the area of a triangle? (A) 0.5 (B) 0.707 (C) 1 (D) 1.5 Question 4:A triangle has sides 7 cm and 9 cm with an included angle of 90°. What is its area? (A) 21 cm² (B) 45 cm² (C) 27 cm² (D) 31.5 cm² Question 5:Which trigonometric function is used in the formula for the area of a triangle? (A) Sine (B) Cosine (C) Tangent (D) Cosecant Question 6:If the included angle of a triangle is 0°, what is the area of the triangle? (A) Maximum (B) Zero (C) Negative (D) Undefined Question 7:If a triangle has an area of 24 cm², sides of 6 cm and 8 cm, what is sin(C)? (A) 0.5 (B) 0.707 (C) 1 (D) 1.5 Question 8:What is the area of an equilateral triangle with a side length of s using trigonometry? (A) s²/2 (B) s²/3 (C) s²/6 (D) (s²√3)/4 Question 9:If a triangle has sides 12 cm and 15 cm, and an included angle of 45°, what is the area? (A) 63.64 cm² (B) 90 cm² (C) 45 cm² (D) 70 cm² Question 10:The area of a triangle using trigonometry is best used when we know…? (A) All three sides (B) Two sides and the included angle (C) One side and two angles (D) All three angles Embed this code in your website: Results: Total score: /10 Answer key: Question 1: a Question 2: b Question 3: c Question 4: d Question 5: a Question 6: b Question 7: c Question 8: d Question 9: a Question 10: b