how to draw an equliteral triangle with perimeter 6√8
Answers
Answer:
If the length of each median of an equilateral triangle is 6 root 3, what is the perimeter of the triangle?
Say the triangle is ABC.
Median AM from vertex A to side BC.
Triangle ABM is semiequilateral having AM perpendicular to BC since triangle ABC is equilateral and AM median.
Sine of angle ABM = AM / AB
Sin 60° = 6√3 / s
where s is legnth of the side of triangle ABC.
Then √3 / 2 = 6√3 / s
Then s=12
So perimeter is 3*s = 36.
Step-by-step explanation:
If the length of each median of an equilateral triangle is 6 root 3, what is the perimeter of the triangle?
Say the triangle is ABC.
Median AM from vertex A to side BC.
Triangle ABM is semiequilateral having AM perpendicular to BC since triangle ABC is equilateral and AM median.
Sine of angle ABM = AM / AB
Sin 60° = 6√3 / s
where s is legnth of the side of triangle ABC.
Then √3 / 2 = 6√3 / s
Then s=12
So perimeter is 3*s = 36.
Answer:
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