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
Step 1: Find the length of GM using the Pythagorean theorem in FMG. In right-angled FMG, we have FG^2 = FM^2 + GM^2. 13^2 = 12^2 + GM^2 169 = 144 + GM^2 GM^2 = 169 - 144 GM^2 = 25 GM = sqrt(25) GM = 5 cm Step 2: Find the length of MH using the Pythagorean theorem in FMH. In right-angled FMH, we have FH^2 = FM^2 + MH^2. 15^2 = 12^2 + MH^2 225 = 144 + MH^2 MH^2 = 225 - 144 MH^2 = 81 MH = sqrt(81) MH = 9 cm Step 3: Calculate the total length of GH. The length of GH is the sum of GM and MH. GH = GM + MH GH = 5 cm + 9 cm GH = 14 cm The length of GH is 14 cm. That's 2 down. 3 left today — send the next one.