The question is followed by two statements, A and B. Choose the most appropriate option given below.What is the area of triangle ABC?A. The length of the circumradius is 4 cm.B. The perimeter of the triangle is 36 cm and the triangle has the maximum possible area.a)Question can be answered by using statement A alone but not by using statement B alone.b)Question can be answered by using statement B alone but not by using statement A alone.c)Question can be answered by using either statement alone.d)Question can be answered by using both the statements together but not by either of the statements alone.e)Question cannot be answered on the basis of the two statements.Correct answer is option 'B'. Can you explain this answer?

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The question is followed by two statements, A and B. Choose the most appropriate option given below.

What is the area of triangle ABC?

A. The length of the circumradius is 4 cm.

B. The perimeter of the triangle is 36 cm and the triangle has the maximum possible area.

a)
Question can be answered by using statement A alone but not by using statement B alone.
b)
Question can be answered by using statement B alone but not by using statement A alone.
c)
Question can be answered by using either statement alone.
d)
Question can be answered by using both the statements together but not by either of the statements alone.
e)
Question cannot be answered on the basis of the two statements.

Correct answer is option 'B'. Can you explain this answer?

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The question is followed by two statements, A and B. Choose the most a...

Using Statement A alone:

Area of triangle = abc\4r

where a, b, c are the sides of the triangle and R is the circumradius Since the length of sides is not known, the area cannot be found. Thus, the question cannot be answered using statement A alone.
Using Statement B alone: Since the triangle has the maximum possible area, it has to be an equilateral triangle Hence, each side of the triangle = 36/3 = 12 cm Once the length of each side of a triangle, its semi-perimeter and area can be found.
Thus, the question can be answered using statement B alone.
Thus, the question can be answered using statement B alone but not by using statement A alone.
Hence, option 2.

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The question is followed by two statements, A and B. Choose the most appropriate option given below.What is the area of triangle ABC?A. The length of the circumradius is 4 cm.B. The perimeter of the triangle is 36 cm and the triangle has the maximum possible area.a)Question can be answered by using statement A alone but not by using statement B alone.b)Question can be answered by using statement B alone but not by using statement A alone.c)Question can be answered by using either statement alone.d)Question can be answered by using both the statements together but not by either of the statements alone.e)Question cannot be answered on the basis of the two statements.Correct answer is option 'B'. Can you explain this answer?

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