# The side of an equilateral triangle is 16 cm . Find the length of its altitude. Solve with steps

2
by yogitha

2015-03-02T21:42:27+05:30

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By drawing altitude AD to a triangle ABC
so we get an right angled triangle ADC right angle at D
so, AC=16, CD=8 and let AD=x
then b pythagoras thorem we get 16²=x²+8²
256=x²+64
x²=256-64
x=√192
x=8√3cm
therefore, length of the altitude = 8√3 cms

2015-03-02T21:47:46+05:30

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Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
In equilateral triangle ABC, median AD is also the altitude. AB = 16 cm BD = 8 cm Triangle ABD is right angled, So, => = 256 - 64 = 192 => AD = √192 = 8√3 cm