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The length of each of the sides of the e...

The length of each of the sides of the equilateral triangle ABC is 6 cm. P and Q are the mid-points of AB and AC respectively. Find the length of PQ and the measurement of `angleAPQ.`

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The correct Answer is:
3 cm, `60^@`
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Knowledge Check

  • ABC is an equilateral triangle. D and E are the mid-points of AB and AC. Then angleADE=

    A
    `30^@`
    B
    `45^@`
    C
    `60^@`
    D
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    A
    `2sqrt2 cm`
    B
    `2 sqrt3` cm
    C
    `2/sqrt3` cm
    D
    `3sqrt3` cm

  • In triangle ABC, AB=AC and E, F be the mid points of AB and AC respectively. AD is perpendicular on BC. If AD=2sqrt5 cm, EF=4 cm, then the length of AB is :

    A
    7 cm
    B
    4 cm
    C
    6 cm
    D
    5 cm

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