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d) 10 cm, 15 cm, 20 cm to the top of a building 3 m high the foot of the wall is 4 m.

Mathematics

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Answer

17 cm\text{17 cm}

Step-by-step solution

6 steps
  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 kk, tutatumia Theorem ya Pythagoras.
    Theorem ya Pythagoras inasema: a2+b2=c2a^2 + b^2 = c^2, ambapo aa na bb ni urefu wa pande fupi, na cc ni urefu wa hypotenuse (upande mrefu zaidi).

  2. Badilisha thamani zilizopewa kwenye fomula.

    Tuna upande mmoja mfupi a=15a = 15 cm, upande mwingine mfupi b=8b = 8 cm, na hypotenuse c=kc = k.

    152+82=k215^2 + 8^2 = k^2
  3. Kokotoa miraba ya namba.

    225+64=k2225 + 64 = k^2
  4. Jumlisha namba hizo.

    289=k2289 = k^2
  5. Tafuta mzizi wa mraba wa pande zote mbili ili kupata kk.

    289=k2\sqrt{289} = \sqrt{k^2} 17=k17 = k
  6. Andika jibu la mwisho na vitengo vyake.

    k=17 cmk = 17 \text{ cm}

    Jibu la mwisho ni:
    17 cm\text{17 cm}

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