Direction: In the following question, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:

Assertion (A): It is not possible to draw a triangle with sides 10 cm, 6 cm, and 3 cm.
Reason (R): The sum of any two sides of a triangle is greater than the third side.

Assertion (A) is true but reason (R) is false.

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Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).

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Both assertion (A) and reason (R) are false.

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Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).

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Solution

The correct option is D Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
Option (a)is correct answer.

i.e. the Assertion (A) is also true and the Reason (R) is the correct explanation for it.

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Similar questions

Justify the following statements with reasons:

(a) The sum of three sides of a triangle is more than the sum of its altitudes.

(b) The sum of any two sides of a triangle is greater than twice the median drawn to the third side.

Q. Assertion: It is always possible to draw a triangle whose sides measure 4 cm, 5 cm and 10 cm respectively.
Reason: In an isosceles ∆ABC with AB = AC, if BD and CE are bisectors of ∠B and ∠C respectively, then BD = CE.

(a) Both Assertion and Reason are true and Reason is a correct explanation of Assertion.
(b) Both Assertion and Reason are true but Reason is not a correct explanation of Assertion.
(c) Assertion is true and Reason is false.
(d) Assertion is false and Reason is true.

Which of the following statements are not correct?

a) The sum of any two sides of a triangle is greater than the third side.
b) A triangle can have all its angles acute.
c) A right-angled triangle cannot be equilateral.
d) The difference of any two sides of a triangle is greater than the third side.

Q. Assertion: In a quadrilateral ABCD, we have (AB + BC + CD + DA) > 2AC.

Reason: The sum of any two sides of a triangle is greater than the third side.
(a) Both Assertion and Reason are true and Reason is a correct explanation of Assertion.
(b) Both Assertion and Reason are true but Reason is not a correct explanation of Assertion.
(c) Assertion is true and Reason is false.
(d) Assertion is false and Reason is true.

Q. Directions: In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R).
Mark the correct choice as:

Assertion (A): D and E are points on the sides AB and AC respectively of a ΔABC such that DE║BC then the value of

a

is 8, when AD =

a

cm, DB =

(a - 4)

cm, AE =

(a + 4)

cm and EC =

(a - 2)

cm.

Reason (R): If a line is parallel to one side of a triangle then it divides the other two sides in the same ratio .

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The correct option is D Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).​Option (a)is correct answer. i.e. the Assertion (A) is also true and the Reason (R) is the correct explanation for it.

The correct option is D Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
Option (a)is correct answer.

i.e. the Assertion (A) is also true and the Reason (R) is the correct explanation for it.