Bodhee Prep-Online CAT Coaching | Online CAT Preparation | CAT Online Courses

Get 30% OFF on CAT Crash Course. Code: LASTLAP. Course starts from 18th Sept Enroll Now

CAT 2021 Quant Question [Slot 1] with Solution 14

Question
A circle of diameter 8 inches is inscribed in a triangle ABC where \(\angle ABC = {90^^\circ }\). If BC = 10 inches then the area of the triangle in square inches is
Option: 120
Solution:


We know that Inradius=\(\frac{{\left( {Perpendicular + Base - Hypotenuse} \right)}}{2}\)
\(4 = \frac{{\left( {p + 10 - h} \right)}}{2}\)
h-p = 2 or h= p+2.
Now, \({p^2} + 100\; = \;{h^2}\)
\({p^2} + 100\; = \;{\left( {p + 2} \right)^2}\)
\({p^2} + 100\; = \;{p^2} + 4p + 4\)
4p = 96
p=24.
Hence, Area = \(\frac{1}{2} \times \;10 \times \;24\; = \;120\).
CAT Online Course @ INR 12999 only

CAT 2021 Quant questions with Solutions

CAT online Courses

CAT 2023 Mock Test Series

  • 400+ Topic Tests
  • 45 Sectional tests
  • 20 Mock Tests (Video Solutions)
  • Only at INR 2499

20% Discount Code: GET20

FREE CAT Prep Whatsapp Group

CAT 2023 Online Course at affordable price