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A right triangle is drawn, the opposite site of right angle is 10, sum

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Manager
Manager
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P
Joined: 28 May 2018
Posts: 151
Location: India
Schools: ISB '21 (A)
GMAT 1: 640 Q45 V35
GMAT 2: 670 Q45 V37
GMAT 3: 730 Q50 V40
A right triangle is drawn, the opposite site of right angle is 10, sum  [#permalink]

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New post 16 Mar 2019, 03:56
1
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

84% (02:08) correct 16% (01:44) wrong based on 19 sessions

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A right triangle is drawn. The opposite site of right angle is 10 and sum of the sides next to right angle is 12.
What is the area of the triangle?

A) 14
B) 7
C) 10
D) 11
E) 13
Manager
Manager
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Joined: 19 Jan 2019
Posts: 110
A right triangle is drawn, the opposite site of right angle is 10, sum  [#permalink]

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New post 16 Mar 2019, 04:12
Let the base be "b" and "h"..


Pythogoras theorem -
B^2 + h^2 = 10^2
B+h = 12 , squaring both sides we get.

(B+h)^2 = 12^2
B^2 + h^2 + 2bh = 12^2
(12)^2 - 10^2 = 2bh
144-100 = 2bh
Bh = 44/2 => 22

Area of traingle = 0.5 * 22 = 11

Option D...

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A right triangle is drawn, the opposite site of right angle is 10, sum   [#permalink] 16 Mar 2019, 04:12
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A right triangle is drawn, the opposite site of right angle is 10, sum

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