
04132020, 01:06 PM #1
OT Triangle Area Question / 6th Grade Math


04132020, 01:09 PM #2
Yes...if it is a right angle triangle. But that one is clearly not.

04132020, 01:10 PM #3
It's 1/2 of a parallelogram, so answer is 36.


04132020, 01:11 PM #4
I think it's missing an angle somewhere. You can draw the hypoteneuse of the small implied right triangle (the one you need
to the area of to solve the overall problem) at any angle.

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04132020, 01:12 PM #5


04132020, 01:12 PM #6

04132020, 01:19 PM #7
jancollc and BugRobotics are correct. (Height x Width)/2

04132020, 01:19 PM #8

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04132020, 01:22 PM #9
36 square inches


04132020, 01:25 PM #10
Area = 1/2 x Base x Height


04132020, 01:26 PM #11
Yep.
Area of a parallelogram is base x height ie 12 x 6 = 72 in that case. The triangle is half of the parallelogram so area is 36.
Of course you can figure out everything else about the triangles via the area of the parallelogram. Can be a very useful approach when you don't have enough information to go straight to trigonometry.
Clive
Need to work on my typing speed!

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04132020, 01:30 PM #12
Oh well, that's something I've learned today.
Thanks guys


04132020, 01:33 PM #13
If you had an accurate drawing to scale it could be solved by drafting methods plus trigonometry. Once divided into two triangles with one 90 degree corner the sides could be measured and each triangle would have 1/2 the area of a rectangle with the same dimensions. The unknown angles could be found using trigonometry.
If a photo were imported as a layer into 2D cad you could draw a line from that corner tangent to the longest dimension and you would have your right angles. How you digitize the drawing is to place coordinates at the corners while zoomed in and then play connectthedots.
I used to solve unknown geometry by using dividers on a photo and then transferring to paper. On one occasion I needed to "borrow" the dimensions of a motorcycle overcenter stand from a photo in a magazine article. These stands are used for field maintenance such as removing wheels and have to be simple, light, and portable. The dimensions are criitical to ease of use.

04132020, 01:34 PM #14
To solve a trig problem like that one needs a combination of side lengths and angles.
1. Two sides and one angle.
2. Two angles and one side.
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04132020, 01:36 PM #15
Maybe this will help...
Take your triangle (blue), make another of the same size and orient it on top of the first (red) to make a parallelogram (parallelogram is 4sided shape formed by two pairs of parallel lines).
Area of a parallelogram is base * height. You have 1/2 of the parallelogram therefore... 1/2 * base(12) * height(6). So you can see how you've been given all the necessary info.


04132020, 01:37 PM #16

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04132020, 01:54 PM #17
I was going to go along with all the others who saw the 6" as height, not length of a side, and the answer easy.
But then I realized this was in English units and impossible to solve, unless it were metric . . .

04132020, 02:03 PM #18

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04132020, 02:26 PM #19
Um, no.
A rectangle is a parallelogram, but a parallelogram is not necessarily a rectangle.
The formula for area of a parallelogram, as prev. posted, is A=bh. Since the triangle is 1/2 of the parallelogram, it's area is 1/2(bh).
Information given, you cannot solve the full triangle. But you can solve for area no problem.
It's not a trig problem it's basic geometry.

04132020, 02:45 PM #20
for fucks sake, if you don't get it, draw it up in cad and analyze the area. It's 36

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