Geometry Problem HELPPPPPPPPPP urgentttt

Oldest

Best Reply

Author

Message

Intern

Joined: 06 Oct 2011

Posts: 8

Followers: 0

Kudos [?]: 0 [0], given: 1

Geometry Problem HELPPPPPPPPPP urgentttt [#permalink]

11 Nov 2011, 20:02

In the figure, AB=5cm, BC=4cm and AC=7 cm. If BX bisects ABC, calculate the length of AX. Please give full explanation. what is why.. how is what

Attachments

problem.JPG [ 13.43 KiB | Viewed 157 times ]

Manager

Status: Contemplating ...

Joined: 09 Sep 2011

Posts: 122

Location: India

Concentration: General Management, Entrepreneurship

Schools: Kellogg '15 (D), CBS '15 (D), Ross '15 (D), Anderson '15 (D), Johnson '15 (WL), McDonough '15 (M), ISB '14 (D), Olin '15 (A)

GMAT 1: 710 Q49 V38

WE: Information Technology (Other)

Followers: 7

Kudos [?]: 67 [0], given: 15

Re: Geometry Problem HELPPPPPPPPPP urgentttt [#permalink]

11 Nov 2011, 23:13

Here's the explanation:

It is given that BX bisects the angle ABC. Therefore, angle ABX = angle CBX
Also, side AB is similar to side CB and since side BX is common to both triangles ABX and CBX, they are similar.

Using property of similarity, we know that AB/AX = BC/CX
Therefore, by alternando (operation on the above fraction),
AB/BC = AX/CX
We know that AB = 5 and BC = 4
Therefore, AX/CX = 5/4
Performing componendo on both sides,
AX+CX/CX = (5+4)/4 = 9/4
But AX+CX = AC = 7 (given)

Therefore, the above equation becomes 7/CX = 9/4
This can be solved to get the value of CX as 28/9 which is equal to 3.11 cm

Now, we are asked to find the length of AX which is AC-CX
Therefore, AX = 7 - 28/9 = 35/9 = 3.89 cm

Hope this helps.

Cheers!
_________________

Giving +1 kudos is a better way of saying Thank You
_________________________________________________

Find out what's new at GMAT Club - latest features and updates

Re: Geometry Problem HELPPPPPPPPPP urgentttt [#permalink] 11 Nov 2011, 23:13

	Similar topics	Author	Replies	Last post
Similar Topics:	Geometry Problem	beckee529	6	11 Sep 2007, 18:56
	Geometry Problem	tarek99	10	20 Nov 2007, 08:33
	Geometry problem	olive	4	18 May 2008, 15:18
	Geometry Problem HELPPPPPPPPPP	arifaisal	1	11 Nov 2011, 00:57
	Geometry Problem HELPPPPPPPPPP urgentttt NEWWWWWW	arifaisal	2	12 Nov 2011, 00:18

Geometry Problem HELPPPPPPPPPP urgentttt

Main navigation

GMAT Resources

Partners

MBA Resources

GMAT ® is a registered trademark of the Graduate Management Admission Council ® (GMAC ®). GMAT Club's website has not been reviewed or endorsed by GMAC.

GMAT Courses

Admissions Consulting

Geometry Problem HELPPPPPPPPPP urgentttt

Geometry Problem HELPPPPPPPPPP urgentttt

Main navigation

GMAT Resources

Partners

MBA Resources