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: Tambua kuwa pembetatu hii ni pembetatu ya pembe mraba (right-angled triangle) kwa sababu ina alama ya pembe mraba. Ili kupata urefu wa upande x, tutatumia Theorem ya Pythagoras. Theorem ya Pythagoras inasema: a^2 + b^2 = c^2, ambapo a na b ni urefu wa pande fupi, na c ni urefu wa hypotenuse (upande mrefu zaidi). Step 2: Badilisha thamani zilizopewa kwenye fomula. Tuna a = 9 cm na b = 12 cm, na c = x. 9^2 + 12^2 = x^2 Step 3: Kokotoa miraba ya namba. 81 + 144 = x^2 Step 4: Jumlisha namba hizo. 225 = x^2 Step 5: Tafuta mzizi wa mraba wa pande zote mbili ili kupata x. sqrt(225) = sqrt(x^2) 15 = x Step 6: Andika jibu la mwisho na vitengo vyake. x = 15 cm Jibu la mwisho ni: 15 cm Tuma swali linalofuata 📸