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
Huu hapa ni ufumbuzi wa swali la kwanza: "Construct a triangle ABC in which AB = BC = AC = 7 cm. Measure ABC, BCA and BAC." Kwa kuwa pande zote za pembetatu ABC ni sawa (AB = BC = AC = 7 cm), hii ni pembetatu pacha (equilateral triangle). Katika pembetatu pacha, pembe zote za ndani ni sawa. Step 1: Chora mstari wa sentimita 7. Chora mstari ulionyooka na uuweke alama A na B, urefu wake ukiwa sentimita 7. Step 2: Chora pinde mbili. Weka ncha ya dira (compass) kwenye A na ufungue dira hadi sentimita 7. Chora upinde juu ya mstari AB. Kisha, weka ncha ya dira kwenye B (bila kubadilisha kipimo) na chora upinde mwingine juu ya AB, ukihakikisha unakata upinde wa kwanza. Step 3: Weka alama C na unganisha. Weka alama ya makutano ya pinde hizo kama C. Unganisha A na C, na B na C kwa kutumia rula. Sasa una pembetatu ABC. Step 4: Pima pembe. Kwa kuwa pembetatu ABC ni pacha, pembe zake zote za ndani ni sawa. Jumla ya pembe za ndani za pembetatu ni 180^. Kila pembe itakuwa: (180^)/(3) = 60^ Hivyo, ABC = 60^, BCA = 60^, na BAC = 60^. Majibu: = 60^, = 60^, = 60^ Tuma swali linalofuata 📸