This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
You're on a roll — Here are the solutions for problems 1 and 2 again, based on the values in the image: 1. In the triangle ABC, ABC = 80, CAB = 45 and AC = 50. Find BC. Step 1: Find the third angle of the triangle. The sum of angles in a triangle is 180^. ACB = 180^ - 80^ - 45^ = 55^ Step 2: Apply the Sine Rule. (BC)/(( CAB)) = (AC)/(( ABC)) (BC)/((45^)) = (50)/((80^)) Step 3: Solve for BC. BC = (50 × (45^))/((80^)) BC = (50 × 0.7071)/(0.9848) BC ≈ 35.900 The length of BC is approximately 35.90 units. 2. In the triangle PQR, RPQ = 60, QRP = 50 and RP = 6.5. Find PQ. Step 1: Find the third angle of the triangle. PQR = 180^ - 60^ - 50^ = 70^ Step 2: Apply the Sine Rule. (PQ)/(( QRP)) = (RP)/(( PQR)) (PQ)/((50^)) = (6.5)/((70^)) Step 3: Solve for PQ. PQ = (6.5 × (50^))/((70^)) PQ = (6.5 × 0.7660)/(0.9397) PQ ≈ 5.298 The length of PQ is approximately 5.30 units. All the visible questions from the image have now been solved. Send me the next one 📸