Math, asked by sandhumanveer3333, 1 year ago

Formula for altitude of equilateral triangle

Answers

Answered by Gurvngi
0
so my friend here is an example to understand you



ΔABC is an equilateral triangle with side 12.

Find the height of ΔABC (to the nearest tenth).

Possible Answers:

10.6

10.0

9.8

10.2

10.4

Correct answer:

10.4

Explanation:

Equilateral triangles have sides of all equal length and angles of 60°. To find the height, we can draw an altitude to one of the sides in order to split the triangle into two equal 30-60-90 triangles.

Now, the side of the original equilateral triangle (lets call it "a") is the hypotenuse of the 30-60-90 triangle. Because the 30-60-90 triange is a special triangle, we know that the sides are x, x3–√, and 2x, respectively.

Thus, a = 2x and x = a/2.
Height of the equilateral triangle = a3–√2


Answered by anan23122
2
Ha=Hb=Hc=a√3/2
(its a√3by 2)

Gurvngi: wow
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