Each question is followed by two statements, I and II. Select appropriate option from the given below.What is the area of the right angled triangle?I. The length of hypotenuse is 5 cm.II. The perimeter of the triangle is four times its base.a)Question can be answered by using statement I alone but not by using statement II alone.b)Question can be answered by using statement II alone but not by using statement I alone.c)Question can be answered by using either of the statements 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 by using any of the statements.Correct answer is option 'D'. Can you explain this answer?

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Each question is followed by two statements, I and II. Select appropriate option from the given below.

What is the area of the right angled triangle?

I. The length of hypotenuse is 5 cm.
II. The perimeter of the triangle is four times its base.

a)
Question can be answered by using statement I alone but not by using statement II alone.
b)
Question can be answered by using statement II alone but not by using statement I alone.
c)
Question can be answered by using either of the statements 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 by using any of the statements.

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

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Each question is followed by two statements, I and II. Select appropri...

Using statement I alone: Though the hypotenuse is known, the length and breadth are not known.
Hence, the area cannot be found.
Thus, the question cannot be answered using statement I alone.
Using Statement II alone: The perimeter of the triangle is four times its base.
If the length of base is B cm, height is H cm and Hypotenuse is K cm then, H + B + K = 4B
H + K = 3B ... (ii).

However, by itself the equation is not enough to get the value of H and B.
Hence, the area cannot be found.
Thus, the question cannot be answered using statement II alone.
Using statements I and II together: K = 5
H + 5 = 3B.

Since the triangle is a right triangle; H² + B² = 25. (3B - 5)² + B² = 25
9B² - 30B + 25 + B² = 25.
10B² - 30B = 0

B = 0 or 10 Since B cannot be 0, B = 10

Since the base is known, the height can be found, and hence the area can be found.
Thus, the question can be answered using both the statements together but not by using either statement alone.
Hence, option 4.

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Each question is followed by two statements, I and II. Select appropriate option from the given below.What is the area of the right angled triangle?I. The length of hypotenuse is 5 cm.II. The perimeter of the triangle is four times its base.a)Question can be answered by using statement I alone but not by using statement II alone.b)Question can be answered by using statement II alone but not by using statement I alone.c)Question can be answered by using either of the statements 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 by using any of the statements.Correct answer is option 'D'. Can you explain this answer?

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