CAT 2024 Geometry & Mensuration Question (Medium)

Question

ABCD is a rectangle with sides AB 56 cm and BC 45 cm, and E is the midpoint of side CD. Then, the length, in cm, of radius of incircle of is

Accepted Answer

To find the radius of the incircle of triangle , where is a rectangle with cm and cm, and is the midpoint of side , follow these steps 1. Calculate the coordinates of points Let . is the midpoint of E left 2 , 2 right 28, 45 2. Find the lengths , , and 3. Calculate the semi-perimeter of s 2 28 45 2

CAT 2024

Quantitative

Geometry & Mensuration

Medium

ABCD is a rectangle with sides AB = 56 cm and BC = 45 cm, and E is the midpoint of side CD. Then, the length, in cm, of radius of incircle of $\triangle A D E$ is

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