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Which of the following are right-angled triangles?

Mathematics

ScanSolve AI Answer

Answer

24 cm\text{24 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 yy, 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=10a = 10 cm, upande mwingine mfupi b=yb = y, na hypotenuse c=26c = 26 cm.

    102+y2=26210^2 + y^2 = 26^2
  3. Kokotoa miraba ya namba.

    100+y2=676100 + y^2 = 676
  4. Toa 100 kutoka pande zote mbili za mlinganyo ili kutenga y2y^2.

    y2=676−100y^2 = 676 - 100 y2=576y^2 = 576
  5. Tafuta mzizi wa mraba wa pande zote mbili ili kupata yy.

    y2=576\sqrt{y^2} = \sqrt{576} y=24y = 24
  6. Andika jibu la mwisho na vitengo vyake.

    y=24 cmy = 24 \text{ cm}

    Jibu la mwisho ni:
    24 cm\text{24 cm}

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