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bkk145
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Three points of a triangle are （2,-2）, 20 Oct 2007, 11:35
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Three points of a triangle are （2,-2）, （0,0）, (1,1）, what is the area of the triangle?



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KillerSquirrel
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Three points of a triangle are （2,-2）, 20 Oct 2007, 11:40
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I'm getting 6-3.5 = 2.5

:)
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beckee529
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Three points of a triangle are （2,-2）, 20 Oct 2007, 11:48
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KillerSquirrel
I'm getting 6-3.5 = 2.5

:)
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how did you get that? I got 2

distance between points

b^2 = (0-2)^2 + (0+2)^2 = 8
=> b = 2sqrt2

h^2 = (1-0)^2 + (1-0)^2 = 2
=> h = sqrt2


1/2bh =
1/2 (2sqrt2)(sqrt2)
= 2
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KillerSquirrel
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Three points of a triangle are （2,-2）, Updated on: 20 Oct 2007, 12:00
Originally posted by KillerSquirrel on 20 Oct 2007, 11:51.
Last edited by KillerSquirrel on 20 Oct 2007, 12:00, edited 1 time in total.
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form a rectangular of 3*2 = 6

remove three right triangles

(3*1)/2 = 1.5

(1*1)/2 = 0.5

(2*2)/2 = 2

total

6 - 4 = 2

see attachment

:)
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yuefei
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Three points of a triangle are （2,-2）, 20 Oct 2007, 11:52
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Area = 2

Here are my notes from solving:
1) The triangle is a right triangle. Slope is 1 & -1 so the intersection is right.

Solve for the hypotenuse of a new right triangle with side x = 0; point 0,0 & 1,1 & 0,1.
hypot = sqrt(2). This is the height of the triangle we are trying to solve.

Solve for the hypotenuse of another new right triangle with side x = 0.
hypot = sqrt(8).

so 1/2(sqrt(8))*(sqrt(2) = 2
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beckee529
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Three points of a triangle are （2,-2）, 20 Oct 2007, 11:55
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KillerSquirrel
form a rectangular of 3*2 = 6

remove three right triangles

(2*1)/2 = 1

(1*1)/2 = 0.5

(2*2)/2 = 2

see attachment

:)
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thanks for the drawing.. isn't it (2, -2) and not (-2, 2) i get a completely different triangle! :?
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KillerSquirrel
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Three points of a triangle are （2,-2）, 20 Oct 2007, 11:56
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beckee529
KillerSquirrel
form a rectangular of 3*2 = 6

remove three right triangles

(2*1)/2 = 1

(1*1)/2 = 0.5

(2*2)/2 = 2

see attachment

:)

thanks for the drawing.. isn't it (2, -2) and not (-2, 2) i get a completely different triangle! :?
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Yes you are correct - :oops:
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Fistail
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Three points of a triangle are （2,-2）, 20 Oct 2007, 17:13
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got 2 too, finding the angles. the triangle becomes right angle triangle with base 2sqrt2 and height sqrt2.


good question bkk145.



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