Maths-

General

Easy

Question

# Assertion A : The radius of the circle inscribed in the triangle obtained by joining the middle points of the sides of ABC is equal to half the radius of incircle of ABC.

Reasons R : In ABC, D, E, F be midpoints of the sides of ABC, ',2s' denote area and perimeter of ΔDEF then ' = / 4 and s' = s / 2

- A is true, R is true and R is correct explanation of A
- A is true, R is true and R is not correct explanation of A
- A is true, R is false
- A is false, R is true

## The correct answer is: A is true, R is true and R is correct explanation of A

### To find the correct option for the given statements.

Let the triangle be ABC and the midpoints are O, F, E.

area = / 4 and perimeter = s / 2 as given in statement 2.

Therefore, A is true, R is true and R is the correct explanation of A

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