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The question consists of two statements namely, assertion (a) and reason (R). Please select the correct answer.

Assertion: Area of an equilateral triangle having each side equal to 4 cm is $43$ sq. cm.

Reason: Area of an equilateral triangle having each side a is $34 a 2$ sq units.

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Both Assertion (A) and Reason (B) are true and Reason (R) is a correct explanation of Assertion (A).

Both Assertion (A) and Reason (B) are true but Reason (R) is not a correct explanation of Assertion (A).

Assertion (A) is true and Reason (R) is false.

Assertion (a) is false and Reason (R) is true.

answer is A.

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Detailed Solution

Given 2 statements, an assertion and a reason.
Assertion: Area of an equilateral triangle having each side equal to 4 cm is

43

sq. cm.
Reason: Area of an equilateral triangle having each side a is

34 a 2

sq units.
Area of equilateral triangle of side 4 cm is,

A = 34 × (s i d e) 2

⇒ A = 34 × (4) 2

⇒ A = 34 × 16

⇒ A = 43 c m 2

Area of triangle having side a is,

A = 34 a 2

The statements Assertion (A) and Reason (B) are true and Reason (R) is a correct explanation of Assertion (A).
Hence, option 1 is correct.

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