The median of an equilateral triangle is 12 root of three. find his side.

Beckett Henry 2022-09-12 Answered
The median of an equilateral triangle is 12 root of three. find his side.
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Answers (1)

William Collins
Answered 2022-09-13 Author has 12 answers
The median in an equilateral triangle is both the altitude and the bisector.
for example given a triangle. ABC, where BH is the median.
maybe she and height triang. ABN - rectangular.
all angles in an equilateral triangle = 60 each
times A = 60 A B H = 30 . In straight. triangle leg lying opposite at 30 = half of the hypotenuse A H = 1 / 2 A B A B = 2 A H
Now, according to the Pythagorean theorem, we compose: ( 2 A H ) 2 = ( 12 3 ) 2 + A H 2
4 A H 2 = 432 + A H 2
3 A H 2 = 432
A H 2 = 144
АН=12
AC=2AH=24cm

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