if the length of a median of an equilateral triangle is 8 centimetre then find uts area. don't give illogical answers
Answers
Answered by
6
We know that median and altitude of equilateral triangle is same.
And,
Altitude = root3 /2 × a
=> x = root3 / 2 × a
=> a = 2x / root3
Area = root3 / 4 × a^2
= root3 × (2x/root3)^2 / 4
= ( root3 × 4x^2 / 3) / 4
= root3 × x^2 / 3
= x^2 / root3 cm^2
And,
Altitude = root3 /2 × a
=> x = root3 / 2 × a
=> a = 2x / root3
Area = root3 / 4 × a^2
= root3 × (2x/root3)^2 / 4
= ( root3 × 4x^2 / 3) / 4
= root3 × x^2 / 3
= x^2 / root3 cm^2
kusamlata81pano3q:
a is for area or side
side
and how altitude is equal to root 3 / 2
It formula to find side of equilateral triangle
derive it plz
Draw altitude of equilateral e
triangle
then in any of two right angled triangle, find the altitude by using pythagoras theorem
Answered by
6
We know that median and altitude of equilateral triangle is same.
And,
Altitude = root3 /2 × a
=> x = root3 / 2 × a
=> a = 2x / root3
Area = root3 / 4 × a^2
= root3 × (2x/root3)^2 / 4
= ( root3 × 4x^2 / 3) / 4
= root3 × x^2 / 3
= x^2 / root3 cm^2
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