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Middle School Math Grades 5-8, Ages 10-13, MATHCOUNTS, AMC 8

Grades 5-8, Ages 10-13, MATHCOUNTS, AMC 8

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Middle School Math Grades 5-8, Ages 10-13, MATHCOUNTS, AMC 8

Grades 5-8, Ages 10-13, MATHCOUNTS, AMC 8

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tpulak

#1 h Feb 18, 2010, 4:47 AM • 1 Y

Y by Adventure10

What is the number of distinct lines representing the altitudes, medians, and interior angle bisectors of a triangle that is isosceles, but not equilateral?

Please tell me an explanation if you can solve

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145 posts

#2 h Feb 18, 2010, 2:29 PM • 1 Y

Y by Adventure10

In a scalene triangle, there will be 3 medians, 3 angle bisectors, and 3 altitudes

However, in an isoceles triangle, the median, angle bisector, and altitude are the same line to the base
The median, altitude, and angle bisector remain different for the other two sides
So this gives us 3 + 3 + 1 = $\boxed{7}$ lines

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#3 h Yesterday at 8:58 PM

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1434 i lost the game

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Aaronjudgeisgoat

826 posts

Aaronjudgeisgoat

#4 h Yesterday at 9:40 PM

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why are you doing this.

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Leeoz

#5 h Yesterday at 9:44 PM

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Aaronjudgeisgoat wrote:

why are you doing this.

because he can...

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ReticulatedPython

513 posts

ReticulatedPython

#6 h Yesterday at 10:09 PM

Y by

Wow this thread is 8 months older than me.

This post has been edited 1 time. Last edited by ReticulatedPython, Yesterday at 10:09 PM

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#7 h Yesterday at 10:13 PM

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Guys stop bumping 10-20 year of threads.

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#8 h Yesterday at 10:13 PM

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this post happened during the week i was born

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#9 h Today at 12:39 AM

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I need halp!
The wheels on Annie's bicycle are 20 inches in diameter. If each wheel makes 3 full revolutions every second, then how many feet does Annie travel in 1 second? Give your answer as an integer, rounded to the nearest foot.
From a helpless Prealgebra B student lol

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#10 h Today at 12:42 AM

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WAIT THIS IS FROM 2010?!?

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#11 h Today at 12:43 AM

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yeah lol

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#12 h Today at 12:46 AM

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this one's also older than me lol

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