CAT Exam 2021 Slot 1 Solved Paper

Question : 58 of 66

Marks: +1, -0

A circle of diameter 8 inches is inscribed in a triangle ∠ABC = 90°. If BC = 10 inches then the area of the triangle in square inches is

Solution:

We know that in radius =

{\Perpendicular +\Base +\Hypotenuse}/ 2

4= {\p+ 10+ \h}/2

Now,

\p^2+100 = \h^2

\p^2 +100=(\p +2)^2

\p^2 + 100 = \p^2 + 4\p +4

4\p = 96

\p= 24

Hence, Area

= 1/2 × 10× 24× 120.

Go to Question:

Prev Question

Next Question