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's the solution for the triangle problem: Step 1: Identify the given side lengths for Triangle P and the longest side for Triangle Q. Triangle P has sides 5, 12, and 13. The longest side of Triangle P is 13. Triangle Q has a longest side of 30 cm. Step 2: Calculate the scale factor. The scale factor is the ratio of the corresponding longest sides. Scale factor = Longest side of Triangle QLongest side of Triangle P Scale factor = (30)/(13) Step 3: Calculate the missing sides of Triangle Q. Multiply each side of Triangle P by the scale factor to find the corresponding sides of Triangle Q. For the side corresponding to 5: Side_1 of Q = 5 × (30)/(13) = (150)/(13) cm ≈ 11.54 cm For the side corresponding to 12: Side_2 of Q = 12 × (30)/(13) = (360)/(13) cm ≈ 27.69 cm The scale factor is (30)/(13) and the missing sides of Triangle Q are (150)/(13) cm and (360)/(13) cm. Drop the next question!