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
Hapa kuna jinsi ya kukokotoa eneo la pembetatu ABC: c) Calculate the area of the triangle ABC shown in Figure 5 given that A = sqrt(s(s-a)(s-b)(s-c)) and s = (a+b+c)/(2). Step 1: Tambua urefu wa pande za pembetatu. Kutoka kwenye mchoro, tuna: a = 24 cm (upande BC) b = 20 cm (upande AC) c = 16 cm (upande AB) Step 2: Kokotoa semi-perimeter s. s = (a+b+c)/(2) = (24 + 20 + 16)/(2) = (60)/(2) = 30 cm Step 3: Kokotoa tofauti (s-a), (s-b), na (s-c). s-a = 30 - 24 = 6 cm s-b = 30 - 20 = 10 cm s-c = 30 - 16 = 14 cm Step 4: Badilisha maadili haya kwenye fomula ya Heron ili kukokotoa eneo A. A = sqrt(s(s-a)(s-b)(s-c)) A = sqrt(30 × 6 × 10 × 14) A = sqrt(180 × 140) A = sqrt(25200) Step 5: Rahisisha mzizi wa mraba. A = sqrt(3600 × 7) A = sqrt(3600) × sqrt(7) A = 60 sqrt(7) cm^2 Jibu ni 60sqrt(7) cm^2. That's 2 down. 3 left today — send the next one.