Formula for altitude of equilateral triangle
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Answered by
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
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
2
Ha=Hb=Hc=a√3/2
(its a√3by 2)
(its a√3by 2)
Gurvngi:
wow
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