each side of an equilateral triangle is 30 cm. find the length of the altitude?

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each side of an equilateral triangle is 30 cm. find the length of the altitude?

geometry

2007-03-11 09:17:42 · 3 answers · asked by ashley b 1 in Science & Mathematics ➔ Mathematics

3 answers

the altitude would be the perpendicular bisector of any one of the bases
so, you would use the pythagorean theorem, given one side as the hypotenuse, half of one side as one of the legs in order to find the second leg which is the altitude:
30^2 = 15^2 + b^2
900 = 225 + b^2
b^2 = 675
b = 25.98 cm

2007-03-11 09:25:17 · answer #1 · answered by hmc12rocks 2 · 0⤊ 0⤋

The altitude is 30*1/2sqrt3 =26cm (rounded)

2007-03-11 16:41:06 · answer #2 · answered by santmann2002 7 · 0⤊ 0⤋

The H = 30sin60 since each angle of the triangle is 60Âº

2007-03-11 16:23:13 · answer #3 · answered by physicist 4 · 0⤊ 0⤋