The height of an equilateral triangle of side 5cm is:

Question

(a)4.33
(b)3.9
(c)5
(d)4

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Rohit QNA 3 years 2021-12-29T13:21:47+00:00 1 Answer 13 views Enlightened 0

Answer ( 1 )

    0
    2021-12-29T13:22:02+00:00

    Answer: a
    Explanation:The height of the
    equilateral triangle ABC divides
    the base into two equal parts at
    point D.
    Therefore,
    BD=DC= 2.5cm
    In triangle ABD, using Pythagoras
    theorem,
    AB2=AD2+BD2
    52=AD2+2.52
    AD2 = 25-6.25
    AD2=18.75
    AD=4.33 cm

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