ABC is a triangle with sides AB = 6m, BC =8m, and AC = 10m. A line k in the plane of the triangle ABC moves along the segment AC at the rate of 1cm per sec. The line starts at A and ends at C and is always perpendicular to AC.
1. How long does it take the line to reach the point B?
2. How long does it take the line to bisect the area of the triangle?
3. What is the area of the region that the line sweeps in its movement after 6min 45 sec?
4.What is the area of the region that the line sweeps at any give moment from the start of its movement?

- Curry

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- Curry

i solved the first one and i got 6 minutes

- anonymous

ya that one i got also 6

- Curry

number 2 is really killing me

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## More answers

- anonymous

sorry i suck at geometry. I dont even remeber learning this stuff in hs

- Curry

this is part of precalc
trust me it looks simple but it is hard

- anonymous

lol but it really falls under geometry i think

- Curry

lol where are all the genuises

- anonymous

Hey sal

- anonymous

I dont fall under the category of genius :D

- anonymous

hey rld, haha me neither... and what a weird question. what course is this for?

- anonymous

pre calc

- Curry

precalc

- anonymous

ok so first thing is, did you do any work?

- Curry

its to make u use skills that u have already acquired through critical thinking

- anonymous

cool never took such a course

- Curry

wat do u mean work i solved the first part but no matterf what i do i cant solve 2

- anonymous

ok how did you get 6 minutes?

- anonymous

lol ya cuz what is the height of the triangle

- anonymous

ok so it is a right angle triangle, you can tell from the dimension. 6, 8, 10

- anonymous

line K, is always perpendicular to AC which is the HYP. of the right angle triangle and is 10 meters.

- anonymous

sal to the rescue

- Curry

i need 2 i found 3

- anonymous

ok, you sure part 1 and 3 are right?

- Curry

well check my work for 3 i got 41/84 as the area

- Curry

41.84 as the area

- Curry

not 41/84

- Curry

not 41/84

- anonymous

yeh 1 is correct.. it is 6 minutes

- Curry

3?

- Curry

wait nvm

- Curry

its 10.7241 as the area check that answer

- anonymous

ok so for 3, you have 6*60+45=405seconds, and times cm per second you get 405 cm convert to meters. 4.05 meters, (6^2-4.05^2)^1/2= you get the third side= 4.427
area of triangle= 0.5*4.426*4.05=8.96

- Curry

thats wrong cause its a trap after 3.96 so if its 4.05 its a trapu cant use traingle formua

- Curry

trapezoiod

- anonymous

ohhh haha, really is it like that?

- anonymous

totally missed that

- Curry

ye

- anonymous

then for 2, i think you have to relate the triangle at the top, with the one at the bottom interms of areas, and in terms of lengths and solve the 2 equations with 2 unknowns

- anonymous

iight, i g2g hopefully you can figure it out on your own, if not maybe other ppl will be able to help but i gotta go. sorry

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