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In the triangle
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12 May 2021, 06:10
12 May 2021, 06:10
Expert Reply
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Question Stats:
80% (01:30) correct
20% (01:33) wrong based on 25 sessions
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In the triangle ๐
๐๐, ๐
๐ = ๐
๐ = 26 and ๐๐ = 20
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Quantity A |
Quantity B |
The area of the triangle RST |
250 |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Re: In the triangle
[#permalink]
12 May 2021, 07:38
12 May 2021, 07:38
2
We are given three sides.
Area = \(\sqrt{s(s - a)(s - b)(s - c)}\), where s = \(\frac{a + b + c}{2}\) is the triangle's semi-perimeter.
In triangle RST , semi-perimeter = \(\frac{26+26+20}{2}\) = \(36\)
Area = \(\sqrt{36(10)(10)(16)}\) = \(240\)
Qt B > Qt A
Answer B
Area = \(\sqrt{s(s - a)(s - b)(s - c)}\), where s = \(\frac{a + b + c}{2}\) is the triangle's semi-perimeter.
In triangle RST , semi-perimeter = \(\frac{26+26+20}{2}\) = \(36\)
Area = \(\sqrt{36(10)(10)(16)}\) = \(240\)
Qt B > Qt A
Answer B
General Discussion
Re: In the triangle
[#permalink]
12 May 2021, 08:07
12 May 2021, 08:07
1
Another way of solving:
Construct a triangle ABC,
Where AB=AC=26 & BC=20
We can the drop a perpendicular from A to BC. Let's say AN
Thus, NB=10;AB=26
Using pythagoras, we can find AN=24
Area of the triangle=1/2 ร 24ร20
=240
QtyA < Qty B
IMO B
Hope this helps!
Posted from my mobile device
Construct a triangle ABC,
Where AB=AC=26 & BC=20
We can the drop a perpendicular from A to BC. Let's say AN
Thus, NB=10;AB=26
Using pythagoras, we can find AN=24
Area of the triangle=1/2 ร 24ร20
=240
QtyA < Qty B
IMO B
Hope this helps!
Posted from my mobile device
