# CAT 2021 Exam Question Papers Slot 1 | CAT Quants

### CAT Quantitative Aptitude | CAT 2021 Question Papers

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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 ABC =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, = + 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)