Multiple Choice Question (MCQ)

In the triangle ACE , AE is parallel to BD , what is the approximate length of DE ?

  1. ×

    2.33

  2. ×

    2.67

  3. ×

    3.33

  4. ×

    3.67

  5. ×

    6.67

Collected in the board: Triangle

Steven Zheng posted 2 months ago


Answer

  1. Since the triangle BDC is similar to triangle AEC , their corresponding sides are proportional,


    \dfrac{BD}{AE} = \dfrac{DC}{EC}


    \dfrac{3}{5}=\dfrac{4}{EC}


    \therefore EC = \dfrac{5}{3}\cdotp 4 \approx6.67


    DE = EC-DC = 6.67-4=2.67

Steven Zheng posted 2 months ago

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