Assertion : The value of sin 𝜃 = &' is not possible.Reason : Hypotenuse is the largest side in any right angled triangle.
Question
Assertion:
The value of is not possible.
Reason:
Hypotenuse is the largest side in any right angled triangle.
Solution
Assertion: The value of sin 𝜃 = &' is not possible. Reason: Hypotenuse is the largest side in any right-angled triangle.
Step 1: Let's analyze the assertion. It states that the value of sin 𝜃 is equal to &' which is not possible.
Step 2: To understand why this is not possible, we need to consider the reason provided. The reason states that the hypotenuse is the largest side in any right-angled triangle.
Step 3: In a right-angled triangle, the hypotenuse is always the side opposite the right angle and is the longest side.
Step 4: The sine function (sin 𝜃) is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse in a right-angled triangle.
Step 5: Since the hypotenuse is always the longest side, it cannot have a length equal to &' or any other value that is not a valid length.
Step 6: Therefore, the assertion that the value of sin 𝜃 = &' is not possible is correct based on the reason provided.
Conclusion: The assertion is true because the value of sin 𝜃 cannot be equal to &' due to the fact that the hypotenuse is always the largest side in any right-angled triangle.
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