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# Area of a right angled triangle is doubled while its base is

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Senior Manager
Joined: 30 Aug 2003
Posts: 325
Location: dallas , tx
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Area of a right angled triangle is doubled while its base is [#permalink]  16 Dec 2003, 10:52
Area of a right angled triangle is doubled while its base is reduced to its half what % increase occours in its height?
A)300
B)370
C)400
D)150
E)510
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shubhangi

Director
Joined: 03 Jul 2003
Posts: 654
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A = 1/2 B * H

Double Area = 2A
Half base = 1/2 B

New area(NA) : NA= 2A = 1/2 * 1/2B * H
NA = A = 1/2 * 1/2 * 1/2B * H
NA = 1/4 * A

% increase = ( (NA - A)/A ) * 100% = 300%
Manager
Joined: 26 Aug 2003
Posts: 233
Location: United States
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Kudos [?]: 2 [0], given: 0

b = base
h = old height
H = new height

┬╜(b/2)(H) = bh .... double the original area
┬╝H = h
H = 4h

Increase in the height = NewHeight - OldHeight
= 4h - h = 3h => 300% of h
Director
Joined: 28 Oct 2003
Posts: 503
Location: 55405
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Dammit!

I chose C because I didn't read the question right!

There's no excuse for this stuff-- If I can increase my speed, I'll have time to double check these things...
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