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Sub 505 (Easy)|   Geometry|      
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Bunuel
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In the diagram above, BD = 8, AB = 6, and ED = 5. What is the length 23 Dec 2014, 09:52
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C
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92% (01:18) correct 8% (02:04) wrong based on 156 sessions

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Tough and Tricky questions: Geometry.




In the diagram above, BD = 8, AB = 6, and ED = 5. What is the length of AE? (Note: Figure not drawn to scale.)

A. 3
B. 4
C. 5
D. 7
E. 10



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C
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beattheheat
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In the diagram above, BD = 8, AB = 6, and ED = 5. What is the length 23 Dec 2014, 10:23
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Given: BD = 8, AB = 6, and ED = 5
Using Pythagoras theorem ==> AD = 10
AE = AD - ED = 5 , Answer C
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In the diagram above, BD = 8, AB = 6, and ED = 5. What is the length 23 Dec 2014, 21:41
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Bunuel

Tough and Tricky questions: Geometry.




In the diagram above, BD = 8, AB = 6, and ED = 5. What is the length of AE? (Note: Figure not drawn to scale.)

A. 3
B. 4
C. 5
D. 7
E. 10



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AD^2 = AB^2 + BD^2 = 100 => AD = 10
AE = AD-ED = 5

ANS C
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In the diagram above, BD = 8, AB = 6, and ED = 5. What is the length 24 Dec 2014, 02:15
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Answer = C. 5

Attachment:
rectangle_triangle.gif
rectangle_triangle.gif [ 3.46 KiB | Viewed 9044 times ]

Let the required length AE = "a"

\((a+5)^2 = 8^2 + 6^2\)

a+5 = 10

a = 5
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In the diagram above, BD = 8, AB = 6, and ED = 5. What is the length 24 Dec 2014, 04:50
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There are two ways to solve this question.
1 We can similar Triangles AEF n CED.
And hence AF=CD.
Now both the triangles are similar. BD/DC=AB/EG=AD/ED results to AD=10. AE=10-5=5.

2. The easiest way just use Pythagorean theorem n U'll get AD=10, AE=10-5=5.

Cheers Guys.
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In the diagram above, BD = 8, AB = 6, and ED = 5. What is the length 25 Dec 2014, 04:43
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length of Ad= 10 using pytho. Theorem. Note a pythogerian triple is 3,4,5. This triplet multiplied by 2 is 6,8,10. Hence Ad is 10.

Thus AE=10-5(ED)= 5. Answer is C.
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In the diagram above, BD = 8, AB = 6, and ED = 5. What is the length 08 Jan 2015, 07:52
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Bunuel

Tough and Tricky questions: Geometry.




In the diagram above, BD = 8, AB = 6, and ED = 5. What is the length of AE? (Note: Figure not drawn to scale.)

A. 3
B. 4
C. 5
D. 7
E. 10



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OFFICIAL SOLUTION:

We are given that BD = 8, AB = 6, and ED = 5. Let's break this problem down into a few steps.

1) Since triangle ABD is a right triangle where lengths of the two shorter sides are in the ratio of 4 to 3, the triangle must be a 3-4-5 right triangle (a common right-triangle type).

2) We can find the length of AD.
AB = 3 × 2 = 6
BD = 4 × 2 = 8
Therefore, AD = 5 × 2 = 10.

3) Since AE + ED = AD, AE + 5 = 10

4) AE must equal 5.

The correct answer is choice (C).
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In the diagram above, BD = 8, AB = 6, and ED = 5. What is the length 21 Feb 2020, 18:51
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Wasn't sure how to approach initially. Then i realized the triangles are simlar (share sides and angles).
Therefore ED=AE=5.
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