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If you go through 2IIM's CAT Blueprint, an analysis of CAT previous year paper, you will notice that Geometry is the second most tested topic in the Quantitative Ability section of the CAT exam. Hence, it is important for you to practice this topic well so that you can conquer all such questions thrown at you in the CAT Question Paper. Practice CAT previous year paper and ace you CAT preparation online. Don't wait to finish your CAT Syllabus, dive into it with this question right away!

Question 20 : Let ABC be a right-angled triangle with hypotenuse BC of length 20 cm. If AP is perpendicular on BC, then the maximum possible length of AP, in cm, is

1. 10
2. 8\\sqrt{2})
3. 6\\sqrt{2})
4. 5

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Video Explanation

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Explanatory Answer

Now, the length of AP would be maximum, when AB = AC (ABC is an Isosceles Right Triangle)
So, AB = AC = 10cms
Applying Pythagoras theorem to APB, we get
AB² = AP² + PB²
(10² = 10² + x²
x² = 100
x = 10 cms

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The question is "Let ABC be a right-angled triangle with hypotenuse BC of length 20 cm. If AP is perpendicular on BC, then the maximum possible length of AP, in cm, is"

Hence, the answer is 10

Choice A is the correct answer.

 

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