Let's say I've got a weird rotated scalene triangle. How do I calculate the area of this? Which leg is the base leg?
2007-09-29 20:47:40 · 7 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
you pick the base based on the height you are given. the height should be perpendicular to the base meaning the height and base should intersect and form a 90 degree angle. If you're not given a height then i would say just choose the longest line of the triangle and call it a base.
2007-09-29 20:53:33 · answer #1 · answered by NarratoR4BaDMineS 2 · 0⤊ 0⤋
the component to your triangle is 14 squarecm. rationalization as follows: Your question notes that the triangle is a great triangle. the three factors of a great triangle are defined because of the fact the (2) 'legs' and the hypotenuse (it is often the longest section AND the section opposite the perfect perspective). btw: basically a great triangle has a hypotenuse. The formula for the component to a triangle is, as you state, a million/2 base cases top. in reality, the component to a great triangle may well be actually calculated with the aid of substituting the dimensions of the legs into the section formula, in the two order, and you gets the perfect answer. the rationalization: the top of any triangle is measured because of the fact the gap, at a great perspective, from the backside (prolonged if mandatory) to the vertex opposite the backside. So, in a great triangle the legs are already at a great perspective so no calculation is mandatory to make certain the lengths of the backside and top. the top may be the dimensions of the two 'leg'. wish this helps.
2016-11-06 20:04:41 · answer #2 · answered by laubersheimer 4 · 0⤊ 0⤋
Irrespective of any angular orientation of a triangle fact remains that triangle can be completely inscribed within a rectangle (or a square) by touching "two vertexes of triangle (on two near-sides of rectangle) and third-vertex (on opposite corner of rectangle)!
When a triangle is not having either a horizontal or a vertical line you will find above explanation is valid. You will also find that three right angle triangles surrounds "triangle" you want to find out area.
(Rectangle/square area) minus (3 'right angle areas' that surround inner "triangle") = Inner "triangle" area. You need not worry which side is to be regarded base. No base- relating in this manner!
Preferably do the exercise 'in a square line book ' by random selection of triangle vertexes and soon you will forget all other methods to workout areas of triangles! It is so simple!
Regards!
2007-09-29 21:30:33 · answer #3 · answered by kkr 3 · 0⤊ 0⤋
Do you mean the formula of (1/2)(base*height)=area?
If you have the height, then just use the leg perpendicular to it as the base.
2007-09-29 20:52:51 · answer #4 · answered by Lucky 4 · 0⤊ 0⤋
Choose the leg to which calculating the height is the easiest.
If you know all the sides' lengths, use the formula
s = sqrt[p(p - a)(p - b)(p - c)]
Where a,b,c are the sides, and p = (a + b + c)/2
2007-09-29 20:56:50 · answer #5 · answered by Amit Y 5 · 0⤊ 0⤋
it matters only if triangle is right angled. in that case two perpendicular sides are taken as base and height.
2007-09-29 20:58:27 · answer #6 · answered by libraboy28 2 · 0⤊ 1⤋
its your wish as the formula is
1/2*(base *height)
both will be multiplied
hence no problem occurs
2007-09-29 21:03:07 · answer #7 · answered by kaush 2 · 0⤊ 0⤋