Posted by **sohan sah** on Tuesday, August 20, 2013 at 10:07am.

show that the altitudes of equivilent root3/2 of a side

- math -
**Steve**, Tuesday, August 20, 2013 at 12:38pm
Wouldn't be easier just to post the problem as stated? The language above is gibberish. How about

show that the altitudes of an equilateral triangle are √3/2 of a side

Draw the altitude.

Now you have a right triangle, with legs h, s/2 and hypotenuse s.

Using the Pythagorean Theorem,

h^2 + (s/2)^2 = s^2

h^2 + s^2/4 = s^2

h^2 = 3/4 s^2

h = √3/2 s

## Answer This Question

## Related Questions

- Geometry - Given a triangle with side lengths: root3, root3, 3, find the measure...
- algebra - (1) if root x-a/x-b + a/b = root x-b/x-a + b/a, b not equal to a, then...
- Math - find a quadratic equation having 3+root3 and 3-root3
- pre-calculus - triangle KLM has vertices K(0,0), L(18,0), and M(6,12). a. Write ...
- maths - If root2=1.4 and root3=1.7 find value of 4/3 root3-2 root 2+3/3 root3+2 ...
- Math - What point on the unit circle corresponds to -5pi/4? A. (-Root2/2, Root2/...
- physics - two forces F1 and F2 acting at a point have a resultant F. If F2 is ...
- Geometry - How do you find the third altitude of a triangle with the two other ...
- saraswathi vidyalaya - find all the zeroes of 2x4 - 9x3 + 5x2 + 3x-1 if two of ...
- Solving Trig Equations - Solve for x in the interval [-pi,0] a) sin^2x = 3/4 I ...

More Related Questions