# CAT 2019 Question Paper | Quants Slot 2

###### CAT Previous Year Paper | CAT Quants Questions | Question 20

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 ### Video Explanation ## Best CAT Coaching in Chennai #### CAT Coaching in Chennai - CAT 2022Limited Seats Available - Register Now! ### 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

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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