
MHB Craftsman
#1
February 10th, 2020,
02:59
What's the area of the triangle? It's hard because the vertices aren't in the intersections of horizontal and vertical lines, so I have a hard time determining the side lengths, and it's also for Elementary Students Math Olympiads too.

February 10th, 2020 02:59
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MHB Seeker
#2
February 10th, 2020,
03:42
Hi Mr. Fly,
How about we draw a tight rectangle around the triangle and we estimate its side lenghts?
The area of the triangle is then the area of the rectangle minus the area of the three right triangles.

MHB Craftsman
#3
February 10th, 2020,
04:07
Thread Author
Originally Posted by
Klaas van Aarsen
Hi Mr. Fly,
How about a tight rectangle around the triangle and estimate its side lenghts?
The area of the triangle is then the area of the rectangle minus the area of the three right triangles.
But the vertices of the triangle don't even touch the rectangle, so I think it's not that easy.

MHB Seeker
#4
February 10th, 2020,
04:34
Originally Posted by
Monoxdifly
But the vertices of the triangle don't even touch the rectangle, so I think it's not that easy.
Draw a rectangle that touches the vertices. It won't be on the grid lines  only parallel to them.
Alternatively we can draw a help line from A downward to a point D on the same grid line as C.
Now we can add and subtract the relevant right triangles that are aligned with the help lines.