Andika Theorem ya Pythagoras.

Mathematics
Andika Theorem ya Pythagoras.

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Answer

12 cm

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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). a2+b2=c2a^2 + b^2 = c^2 Ambapo aa na bb ni urefu wa miguu, na cc ni urefu wa hypotenuse.

Step 2: Badilisha thamani ulizopewa kwenye fomula. Kutoka kwenye picha, tuna: Hypotenuse c=20 cmc = 20 \text{ cm} Mguu mmoja a=16 cma = 16 \text{ cm} Mguu mwingine b=Pb = P (upande tunaotafuta)

Hivyo, tunapata: (16cm)2+P2=(20cm)2(16 cm)^2 + P^2 = (20 cm)^2

Step 3: Tatua kwa PP. Kwanza, hesabu miraba ya namba zinazojulikana: 256cm2+P2=400cm2256 cm^2 + P^2 = 400 cm^2 Toa 256cm2256 cm^2 kutoka pande zote mbili za mlinganyo: P2=400cm2256cm2P^2 = 400 cm^2 - 256 cm^2 P2=144cm2P^2 = 144 cm^2 Pata mzizi wa mraba wa pande zote mbili ili kupata PP: P=144cm2P = \sqrt{144 cm^2} P=12 cmP = 12 \text{ cm}

Urefu wa upande PP ni 12cm\boxed{12 cm}.

Tuma swali linalofuata 📸

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Quick Answer

Welcome back idahkinyua38 — missed you this week. Ili kupata urefu wa upande usiojulikana wa pembetatu mraba, tutatumia Theorem ya Pythagoras.

Andika Theorem ya Pythagoras.
Mathematics

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
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 📸