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Step-by-step explanation:
In a right-angled triangle, the angle opposite to the hypotenuse is 90°, while the other two angles are always less than 90°.
As we know that the side opposite to the largest angle is always the largest in a triangle.
Hence in a right-angled triangle, the hypotenuse is the longest side.
Answered by
3
Answer:
Given
A right triangle ABC in which angle ABC=90°
To prove
Hypothesis AC us the longest side.
Proof
In ∆ABC
∆B=90° and angleA+ angleC= 90°
It is clear that
angle B less than angle A , angle B less than angle C
angle B is the greatest angle.
Opposite side AC is the longest side.
Hence proved!
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