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.
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Welcome back idahkinyua38 — missed you this week. Ili kupata urefu wa upande usiojulikana wa pembetatu mraba, tutatumia Theorem ya Pythagoras. Step 1: Andika Theorem ya Pythagoras. Theorem ya Pythagoras inasema kwamba katika pembetatu mraba, jumla ya miraba ya pande mbili fupi (miguu) ni sawa na mraba wa upande mrefu zaidi (hypotenuse). a^2 + b^2 = c^2 Ambapo a na b ni urefu wa miguu, na c ni urefu wa hypotenuse. Step 2: Badilisha thamani ulizopewa kwenye fomula. Kutoka kwenye picha, tuna: Hypotenuse c = 20 cm Mguu mmoja a = 16 cm Mguu mwingine b = P (upande tunaotafuta) Hivyo, tunapata: (16 cm)^2 + P^2 = (20 cm)^2 Step 3: Tatua kwa P. Kwanza, hesabu miraba ya namba zinazojulikana: 256 cm^2 + P^2 = 400 cm^2 Toa 256 cm^2 kutoka pande zote mbili za mlinganyo: P^2 = 400 cm^2 - 256 cm^2 P^2 = 144 cm^2 Pata mzizi wa mraba wa pande zote mbili ili kupata P: P = sqrt(144 cm)^2 P = 12 cm Urefu wa upande P ni 12 cm. Tuma swali linalofuata 📸