Tambua pande za pembetatu.

Mathematics

ScanSolve AI Answer

Answer

60.53 cm\text{60.53 cm}

Step-by-step solution

6 steps

Huu ni mstatili wa pembe tatu, kwa hivyo tunaweza kutumia Theorem ya Pythagoras. Theorem ya Pythagoras inasema kwamba katika pembetatu ya pembe ya kulia, mraba wa hypotenuse (upande mrefu zaidi) ni sawa na jumla ya miraba ya pande zingine mbili.

  1. Tambua pande za pembetatu.

    Pande mbili fupi ni 8 cm8 \text{ cm} na 60 cm60 \text{ cm}.
    Hypotenuse ni yy.

  2. Andika fomula ya Theorem ya Pythagoras.

    a2+b2=c2a^2 + b^2 = c^2

    Ambapo aa na bb ni pande fupi, na cc ni hypotenuse.

  3. Badilisha maadili kwenye fomula.

    (8 cm)2+(60 cm)2=y2(8 \text{ cm})^2 + (60 \text{ cm})^2 = y^2
  4. Hesabu miraba ya pande.

    64 cm2+3600 cm2=y264 \text{ cm}^2 + 3600 \text{ cm}^2 = y^2
  5. Jumlisha maadili.

    3664 cm2=y23664 \text{ cm}^2 = y^2
  6. Tafuta mzizi wa mraba wa pande zote mbili ili kupata yy.

    y=3664 cm2y = \sqrt{3664 \text{ cm}^2} y≈60.53 cmy \approx 60.53 \text{ cm}

    The value of yy is:

    60.53 cm\text{60.53 cm}
Was this helpful?

Try one yourself

A new problem that tests the same skill.

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question