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CAT 2021 Exam Question Papers Slot 1 | CAT Quants

CAT Quantitative Aptitude | CAT 2021 Question Papers

CAT Question Papers: Solving CAT Question Papers from prior years will give CAT 2022 applicants invaluable insight into the examination format, question pattern, and level of difficulty. The CAT 2021 exams were held in three slots.
 
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All CAT 2021 Quantitative aptitude questions have detailed answer keys and solutions provided by our experts. Watch the videos below to learn the fastest ways to answer the questions:

4).

A circle of diameter 8 inches is inscribed in the ∆ABC , where angleABC =90o. If BC = 10 inches then the area of the triangle in square inches is


    Explanation

    Refer to the diagram.

     From the given data, BD = BE = 4 inches and BC = 10 inches

     

    Therefore, CE = CF = 10 – 4 = 6 inches and AD = AF = x inches (assume)

             Then from Pythagoras  theorem,

                  open parentheses x plus 6 close parentheses squared    = open parentheses x plus 4 close parentheses squared + open parentheses 10 close parentheses squared

             This can be solved for x , or , since we know that 262 = 242 + 10

             we can see that x = 20 and sides of the triangle are 26 inches, 24 inches and 10 inches

             Area of the triangle ABC = ½ (24) (10) = 120 square inches

    Ans: (120)

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