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calculate the surface of a triangle if we only have the size of its 3 altitudes (heights)==>for example h1,h2,h3
tanx

2007-04-02 04:21:58 · 3 answers · asked by Anonymous in Science & Mathematics Mathematics

it can be solved either by trigonometric methods or geometric methods...as u know

2007-04-02 04:23:34 · update #1

plz note that h1 and h2 and h3 are not the ribs of the triangle
they are its altitude...i mean if you draw a perependicular line on a rip you can name that perependicular line h1 or h2 or h3...
tanx :)

2007-04-02 05:13:18 · update #2

3 answers

Given h1, h2 and h3, you can calculate the height of the triangle. Take h1 as the base. Draw a perpendicular line from the other point to h1. Now you have two triangles with the same height (y) and bases: x and (h1-x).

y = sqrt(h2² - x²)
y = sqrt(h3² - (h1-x)²)

Set them equal and solve for x.

Now you have x and you can compute y.

The area of your triangle is: ½(y*h1).

2007-04-02 04:50:42 · answer #1 · answered by Dave 6 · 0 0

properly it relies upon on the substantial you're doing in college, or the faculty you're attending i'm reading pharmaceutical technology, and it does require me to take Calculus, which does contain a touch of trig. except that, no longer extremely, until eventually you want to calculate the cost of ways many miles in accordance to hour you're using on a speedway. ahaha

2016-12-03 03:46:58 · answer #2 · answered by coury 4 · 0 0

This link provides the formula.

http://mathforum.org/library/drmath/view/61893.html

2007-04-05 21:57:22 · answer #3 · answered by Northstar 7 · 0 0

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