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A. 4 dm
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B. None of these
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C. 5 dm
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D. 3 dm
Explanation
Given a right-angled triangle with a base angle of 45°, it's an isosceles right triangle, meaning the base and perpendicular are equal.
Base length = 3 dm
Perpendicular length = 3 dm
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A. 6
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B. None of these
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C. 8
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D. 10
Explanation
Using Pythagoras' theorem:
c² = a² + b²
c² = 6² + 8²
c² = 36 + 64
c² = 100
c = √100
c = 10 cm
The length of the hypotenuse is 10 cm.
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A. Hypotenuse
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B. Perpendicular
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C. Base
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D. None of these
Explanation
In a right-angled triangle, the side opposite to the given angle (other than the right angle) is called the perpendicular.
The hypotenuse is always the side opposite the right angle, and the remaining side is the base.
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A. 60°
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B. 90°
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C. 45°
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D. None of these
Explanation
The hypotenuse is always opposite the right angle in a right-angled triangle.
Therefore, the angle opposite the hypotenuse is always 90°.
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