A right triangle has a hypotenuse measuring 10 units.
The altitude to the hypotenuse measures 6 units.
Determine the area of the triangle.
It's harder than you think.
Edit: Here's a picture of it that I found.
http://i1.wp.com/mindyourdecisions.com/blog/wp-content/uploads/2016/02/evil-geometry-problem-thumb.png?w=600
Edit 2: Here's a hint if you need it.
[spoiler]Think about the circumcenter.[/spoiler]
English
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Edited by Finky Bean: 4/3/2016 2:58:26 AMThis is a special right triangle: 6, 8, 10. The base is eight and the altitude is 6. A = 1/2bh. A = 1/2(8)(6). A = 24 square units.
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Edited by Kirby235711: 4/3/2016 3:02:40 AMWrong. The altitude to the [i]hypotenuse[/i] is 6, not to the leg.
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My bad. Perhaps when I get exposed to a challenging math problem for once, I will share it. Because IB Physics work is NOT fair game for 99.5% of people here.
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It's not really physics. It's more like a logic problem.
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Sqrt(10^2 -6^2)= longitude (Longitude/2)*6=area
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Nope.
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Edited by Got any pizza: 4/3/2016 3:05:45 AMWith the information given it is 24 units^2 Just had a look at the image and realised I misinterpreted
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Still nope.
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Height plus base divided by two 6•10= 60/2=30 Area Is 30 units
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Nope.
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My bad 30 squared
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Still no.
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About 14.95? My work: cos(45)=a/6 A~3.15. 3.15^2+b^2=100 B^2~9.49 9.49*3.15*.5~14.95
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No, though impressive use of trigonometry.
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Damn. What's my mistake?
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You just have to think a little outside of the box for it.
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I'll bite. What's the solution?
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Edited by Einstein1507: 4/2/2016 9:59:02 PMAbout 25.650 units squared? Edit: never mind. I assumed it was 30°60°90°
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Bump for having yet to be answered correctly.
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Edited by Castration Cabin: 4/2/2016 6:45:47 PM10^2=6^2+x^2 100=36+x^2 64=x^2 x=8 6*8=48 48/2=24 The area is 24 square units.
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No, but props for showing your work.
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It's the Pythagorean theorem.
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Edited by Nokic: 4/2/2016 6:32:03 PM8? Edit: I just read determine area of triangle oops. It's not 8 lol Edit 2: I came up with 24 squared but I just read that's not the answer
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24 units squared?