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 2 years 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.
 2 years 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.

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abm1995
 2 years ago
Best ResponseYou've already chosen the best response.0there's no figure. /: sorry.

ash2326
 2 years ago
Best ResponseYou've already chosen the best response.7No 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?

abm1995
 2 years ago
Best ResponseYou've already chosen the best response.0do you want the choices?

abm1995
 2 years ago
Best ResponseYou've already chosen the best response.0a. 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

abm1995
 2 years ago
Best ResponseYou've already chosen the best response.0does anyone understand this?

ash2326
 2 years ago
Best ResponseYou've already chosen the best response.7Now 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?

abm1995
 2 years ago
Best ResponseYou've already chosen the best response.0no i don't./: i'm dumb.

abm1995
 2 years ago
Best ResponseYou've already chosen the best response.0do you know the answer? then when i figure it out you will say if i'm right or not?

ash2326
 2 years ago
Best ResponseYou've already chosen the best response.7Yeah, I'll do let me explain you angle bisector theorem

ash2326
 2 years ago
Best ResponseYou've already chosen the best response.7Angle 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 \[\frac{BD}{DC}=\frac {AB}{AC}\]

abm1995
 2 years ago
Best ResponseYou've already chosen the best response.0wouldn't the answer be B then?

ash2326
 2 years ago
Best ResponseYou've already chosen the best response.7here we have BD=6 DC=5 Now assume AB as 6.9, find AC ???

ash2326
 2 years ago
Best ResponseYou've already chosen the best response.7No not yet. We have to find one more thing, assume AC=6.9 and find AB

abm1995
 2 years ago
Best ResponseYou've already chosen the best response.0oh it'd be c then or a.

ash2326
 2 years ago
Best ResponseYou've already chosen the best response.7What did you get for AB?

ash2326
 2 years ago
Best ResponseYou've already chosen the best response.7Yes, we don't know which is the second side AB or AC. So we can get either 8.3 or 5.8

ash2326
 2 years ago
Best ResponseYou've already chosen the best response.7yes, did you understand?

abm1995
 2 years ago
Best ResponseYou've already chosen the best response.0yes! your a lot of help!

abm1995
 2 years ago
Best ResponseYou've already chosen the best response.0i need help with a little more../: i'm behind in school. could you help me?

abm1995
 2 years ago
Best ResponseYou've already chosen the best response.0What is the value of x?

abm1995
 2 years ago
Best ResponseYou've already chosen the best response.0a. 5 b. 2.5 c. 7.5 d. 10

ash2326
 2 years ago
Best ResponseYou've already chosen the best response.7The two lines indicated with arrow are parallel, so the two triangles are similar

ash2326
 2 years ago
Best ResponseYou've already chosen the best response.7\[\frac{x}{x+x+5}=\frac {x2}{x2+x+1}\] Now solve for x

abm1995
 2 years ago
Best ResponseYou've already chosen the best response.0wouldn't it be 5 though?

ash2326
 2 years ago
Best ResponseYou've already chosen the best response.7yes, just plugin the value and check

abm1995
 2 years ago
Best ResponseYou've already chosen the best response.0ok, so my answer would be a 5?

ash2326
 2 years ago
Best ResponseYou've already chosen the best response.7check it, you should ascertain it yourself

ash2326
 2 years ago
Best ResponseYou've already chosen the best response.7What did you get when you plugged in x=5 ?

abm1995
 2 years ago
Best ResponseYou've already chosen the best response.0idk. i'm just trying to get this done. i'm so behind.

ash2326
 2 years ago
Best ResponseYou've already chosen the best response.7Relax 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

abm1995
 2 years ago
Best ResponseYou've already chosen the best response.0yes. do you know the answer?

ash2326
 2 years ago
Best ResponseYou've already chosen the best response.7So 5 is the correct answer

abm1995
 2 years ago
Best ResponseYou've already chosen the best response.0do you know that it is?

ash2326
 2 years ago
Best ResponseYou've already chosen the best response.7yes, 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

abm1995
 2 years ago
Best ResponseYou've already chosen the best response.0What similarity statement can you write relating the three triangles in the diagram below?
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