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An angle bisector of a triangle divides the opposite side of the triangle into segments 6 cm and 5 cm long. A second side of the triangle is 6.9 cm long. Find the longest and shortest possible lengths of the third side of the triangle. Round answers to the nearest tenth of a centimeter.
 one year ago
 one year ago
An angle bisector of a triangle divides the opposite side of the triangle into segments 6 cm and 5 cm long. A second side of the triangle is 6.9 cm long. Find the longest and shortest possible lengths of the third side of the triangle. Round answers to the nearest tenth of a centimeter.
 one year ago
 one year ago

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abm1995Best ResponseYou've already chosen the best response.0
there's no figure. /: sorry.
 one year ago

ash2326Best ResponseYou've already chosen the best response.6
No worries, that's why it has asked for two answers. Let ABC be the triangle and AD be the angle bisector. Let BD=6 and DC=5 dw:1359393342358:dw Do you understand the figure?
 one year ago

abm1995Best ResponseYou've already chosen the best response.0
do you want the choices?
 one year ago

abm1995Best ResponseYou've already chosen the best response.0
a. 41.4 cm, 8.3 cm b. 30 cm, 5.8 cm c. 41.4 cm, 4.3 cm d. 8.3 cm, 5.8 cm
 one year ago

abm1995Best ResponseYou've already chosen the best response.0
does anyone understand this?
 one year ago

ash2326Best ResponseYou've already chosen the best response.6
Now we can have either AB or AC as 6.9 cm, we don't know that. It's the second side. Do you know Angle Bisector theorem?
 one year ago

abm1995Best ResponseYou've already chosen the best response.0
no i don't./: i'm dumb.
 one year ago

abm1995Best ResponseYou've already chosen the best response.0
do you know the answer? then when i figure it out you will say if i'm right or not?
 one year ago

ash2326Best ResponseYou've already chosen the best response.6
Yeah, I'll do let me explain you angle bisector theorem
 one year ago

ash2326Best ResponseYou've already chosen the best response.6
Angle bisector divides the side opposite to the angle in the same ratio as that of the other two sides of the triangle, for example heredw:1359394184684:dw \[\frac{BD}{DC}=\frac {AB}{AC}\]
 one year ago

abm1995Best ResponseYou've already chosen the best response.0
wouldn't the answer be B then?
 one year ago

ash2326Best ResponseYou've already chosen the best response.6
here we have BD=6 DC=5 Now assume AB as 6.9, find AC ???
 one year ago

ash2326Best ResponseYou've already chosen the best response.6
No not yet. We have to find one more thing, assume AC=6.9 and find AB
 one year ago

abm1995Best ResponseYou've already chosen the best response.0
oh it'd be c then or a.
 one year ago

ash2326Best ResponseYou've already chosen the best response.6
What did you get for AB?
 one year ago

ash2326Best ResponseYou've already chosen the best response.6
Yes, we don't know which is the second side AB or AC. So we can get either 8.3 or 5.8
 one year ago

ash2326Best ResponseYou've already chosen the best response.6
yes, did you understand?
 one year ago

abm1995Best ResponseYou've already chosen the best response.0
yes! your a lot of help!
 one year ago

abm1995Best ResponseYou've already chosen the best response.0
i need help with a little more../: i'm behind in school. could you help me?
 one year ago

abm1995Best ResponseYou've already chosen the best response.0
What is the value of x?
 one year ago

abm1995Best ResponseYou've already chosen the best response.0
a. 5 b. 2.5 c. 7.5 d. 10
 one year ago

ash2326Best ResponseYou've already chosen the best response.6
The two lines indicated with arrow are parallel, so the two triangles are similar
 one year ago

ash2326Best ResponseYou've already chosen the best response.6
\[\frac{x}{x+x+5}=\frac {x2}{x2+x+1}\] Now solve for x
 one year ago

abm1995Best ResponseYou've already chosen the best response.0
wouldn't it be 5 though?
 one year ago

ash2326Best ResponseYou've already chosen the best response.6
yes, just plugin the value and check
 one year ago

abm1995Best ResponseYou've already chosen the best response.0
ok, so my answer would be a 5?
 one year ago

ash2326Best ResponseYou've already chosen the best response.6
check it, you should ascertain it yourself
 one year ago

ash2326Best ResponseYou've already chosen the best response.6
What did you get when you plugged in x=5 ?
 one year ago

abm1995Best ResponseYou've already chosen the best response.0
idk. i'm just trying to get this done. i'm so behind.
 one year ago

ash2326Best ResponseYou've already chosen the best response.6
Relax and do this \[\frac{x}{x+x+5}=\frac {x2}{x2+x+1}\] \[\frac {x}{2x+5}=\frac{x2}{2x1}\] Put x=5 and check
 one year ago

abm1995Best ResponseYou've already chosen the best response.0
yes. do you know the answer?
 one year ago

ash2326Best ResponseYou've already chosen the best response.6
So 5 is the correct answer
 one year ago

abm1995Best ResponseYou've already chosen the best response.0
do you know that it is?
 one year ago

ash2326Best ResponseYou've already chosen the best response.6
yes, that's why we got the same thing on both sides. Check other options also, you'll see that the left side won't be equal to the right side
 one year ago

abm1995Best ResponseYou've already chosen the best response.0
What similarity statement can you write relating the three triangles in the diagram below?
 one year ago
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