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
Hebu tutafute urefu wa mstari unaopita katikati ya mraba (diagonal). Step 1: Tafuta urefu wa upande mmoja wa mraba. Eneo la mraba (A) hutolewa na formula: A = upande² Tunajua A = 100 cm². 100 cm² = upande² upande = √(100 cm²) upande = 10 cm Step 2: Tafuta urefu wa mstari unaopita katikati ya mraba (diagonal) kwa kutumia theorem ya Pythagoras. Katika mraba, diagonal (d) huunda pembetatu ya kulia na pande mbili za mraba. Formula ni: d² = upande² + upande² d² = 2 × upande² d = √(2 × upande²) d = upande × √2 d = 10 cm × √2 d ≈ 10 cm × 1.4142 d ≈ 14.14 cm Urefu wa mstari unaopita katikati ya mraba ni takriban 14.14 cm. Got more? Send 'em 📸