Solving Triangle Problems: Finding Sides, Angles, and Areas Using Given Values
This guide covers various triangle problems involving the application of the Law of Cosines and the Law of Sines. It includes scenarios where you need to find a side given two sides and an included angle, find an angle when all sides are known, and calculate the area of a triangle using a combination of sides and angles. Each question outlines the conditions provided and what needs to be determined, making it a useful reference for solving trigonometric problems related to triangles.
Solving Triangle Problems: Finding Sides, Angles, and Areas Using Given Values
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Presentation Transcript
Q1 A x cm 37 mm 77° B 46 mm C A
Q2 Q 9 cm 8 cm ? P R 6 cm B
Cos P = r² + q² - p² 2rq C
Q3 Q 9 cm 8 cm A = 77° P R 6 cm C
Q4 A 4.6 cm 3.5 cm 75° ? C B D
b = c_ sinB sinC A
Q5 Q 55° r cm 4.4 cm 45° R P A
r = p_ sinR sinP B
Q6 C 37 mm a 35° A B 46 mm B
Q7 Q 60 cm 33 cm ? P R 46 cm C
Cos R = p² + q² - r² 2pq D
Q8 Q 9 cm 12 cm A = 67° 49.3° R P D
Q9 C 16 cm 29 cm 66° ? A B A
a = b_ sinA sinB B