Instructions

For the Assertion (A) and Reason (R) the correct alternative from the following

Question 163

(A): The area of an equilateral triangle of side 5 cm is $$\frac{25}{4}\sqrt{3} cm^2$$

(R): Sum of the angles in the triangle is 180°

Solution

If side of an equilateral triangle is 'a' then the height of the triangle is$$=(√3/2)a.$$

Area of the triangle$$=(√3/4)a^2.$$

Condition A:

here ,$$a=5$$

so, Area$$=(√3/4)×5^2=(25/4)√3.$$

Condition R:

we know that sum of all the angle of triangle is 180°.

So, both the conditions are correct but 'A' is not dependent on 'R'.

Option B is correct choice.


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