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amanvermagmat
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amanvermagmat
A right angle triangle has the ratio of its sides as 3:4:5 respectively in increasing order. What is the area of this triangle?

(1) Longest side of this triangle is 25 units.

(2) Sum of the two shorter sides of this triangle is 35 units.

Let ABC be the right angle triangle with B as the right angled, and since the ratio is in increasing order, ABC will have angles in 30-60-90

Statement 1
Longest side of this triangle is 25
This means, the side opposite to 90 degree is 25(if 25 was not given to us and just the ratios was given, values could have been 9,16,25 or 15,20,35)
Remaining 2 sides will be 9 and 16, as per 3-4-5 triplet
We can calculate the area using the legs of the Triangle.

Statement 2
Since the ratio is in increasing order
The ratio of smallest sides will be x:y = 3:4
x = 3/4 * y

x+y =35
3/4 * y + y = 35
7 y = 35 *4
y = 20

x = 15

We can calculate the area using the legs of the Triangle, 15 and 20.

IMO answer is D

Let me know if you think otherwise.

Am just trying to be a good critique. GMAT is all about how fast one can reason and how good one can manage time. My suggestion is take 5 seconds before approaching the question, you might find a better way to solve it and save on time.
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Am just trying to be a good critique. GMAT is all about how fast one can reason and how good one can manage time. My suggestion is take 5 seconds before approaching the question, you might find a better way to solve it and save on time.

Thank you for your valuable insight :) . Just when i try to solve it here, i tend to write a lot :-D .
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gauravtewary72
Am just trying to be a good critique. GMAT is all about how fast one can reason and how good one can manage time. My suggestion is take 5 seconds before approaching the question, you might find a better way to solve it and save on time.

Thank you for your valuable insight :) . Just when i try to solve it here, i tend to write a lot :-D .
So nice of you to accept my insight!
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