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anirban16
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If the sides of a scalene triangle were increased by 10%, 20 Mar 2005, 13:43
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If the sides of a scalene triangle were increased by 10%, then by what percentage does it area increase?

(a) 10%
(b) 15%
(c) 20%
(d) 21%
(e) 25%



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If the sides of a scalene triangle were increased by 10%, 20 Mar 2005, 18:02
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I picked numbers too...also got D

ex : 50 and 20

(50*20)/2 = 500
(50*1.1+20*1.1)/2 = 1210/2 =605

605/500 = 21%
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If the sides of a scalene triangle were increased by 10%, 20 Mar 2005, 18:11
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anirban16
If the sides of a scalene triangle were increased by 10%, then by what percentage does it area increase?

(a) 10%
(b) 15%
(c) 20%
(d) 21%
(e) 25%
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(D) 21%

The answer is independent of the fact that this is a scaene triangle (or a triangle for that matter. Since area is square of length, the ratio of the two areas would be of the form

(1.1)^2
===== = 1.21
1^2

Hence the result.
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If the sides of a scalene triangle were increased by 10%, 20 Mar 2005, 22:04
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kapslock
anirban16
If the sides of a scalene triangle were increased by 10%, then by what percentage does it area increase?

(a) 10%
(b) 15%
(c) 20%
(d) 21%
(e) 25%

(D) 21%

The answer is independent of the fact that this is a scaene triangle (or a triangle for that matter. Since area is square of length, the ratio of the two areas would be of the form

(1.1)^2
===== = 1.21
1^2

Hence the result.
Show more


can u plz explain ur statement "since area is square of length" ? Thx
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If the sides of a scalene triangle were increased by 10%, 21 Mar 2005, 01:24
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banerjeea_98
kapslock
anirban16
If the sides of a scalene triangle were increased by 10%, then by what percentage does it area increase?

(a) 10%
(b) 15%
(c) 20%
(d) 21%
(e) 25%

(D) 21%

The answer is independent of the fact that this is a scaene triangle (or a triangle for that matter. Since area is square of length, the ratio of the two areas would be of the form

(1.1)^2
===== = 1.21
1^2

Hence the result.

can u plz explain ur statement "since area is square of length" ? Thx
Show more


Using dimension analysis, while length is length (which is a basic unit), area is length squared.

That's why whether it is area of a triangle, or a square or a pentagon, the dimensions of area are length squared.

That's why the increase of 10% (say from 1 to 1.1) in length produces a change of (1.1)^2 = 1.21 times in area and (1.1)^3 = 1.331 times in volume.

Thus area increase is 21% and volume increase is 33.1%.

Hope that helps.
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If the sides of a scalene triangle were increased by 10%, 21 Mar 2005, 02:43
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21%

- let us take a right angled triangle which is scalene. Right angled because it simplifies visualization.

let the perpendicular be p, base be b and hypoteneous h

stem gives us: p <> b <> h

Area, A = 1/2 * p * b

Let the sides be increased by 10%. Therefore, the new dimensions are:

Perpendicular: 1.1p, base: 1.1b, hypoteneous: 1.1h

New Area: 1/2 * (1.1p) * (1.1b) = 1.21 * A

Hence an increase of 21%
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MA
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If the sides of a scalene triangle were increased by 10%, 21 Mar 2005, 19:43
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anirban16
Explanations please!!!
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pick the number for any scalane triangle. suppose a right scalane triangle.

hight = 10
base = 20
area= 100

after the change:
hight = 11
base = 22
area= 121

% change in area of the scalane triangle = (121-100)/100 = 21%



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Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Problem Solving (PS) Forum
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Thank you for understanding, and happy exploring!
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