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प्रश्न
Fill in the blank to make the following statement true.
In a right triangle the hypotenuse is the .... side.
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उत्तर
In a right triangle the hypotenuse is the largest side
Reason: Since a triangle can have only one right angle, other two angles must be
less than 90°
⇒ The right angle is the largest angle
⇒ Hypotenuse is the largest side.
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संबंधित प्रश्न
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ABC is an isosceles triangle with AB = AC and D is a point on BC such that AD ⊥ BC (Figure). To prove that ∠BAD = ∠CAD, a student proceeded as follows:

In ∆ABD and ∆ACD,
AB = AC (Given)
∠B = ∠C (Because AB = AC)
and ∠ADB = ∠ADC
Therefore, ∆ABD ≅ ∆ACD (AAS)
So, ∠BAD = ∠CAD (CPCT)
What is the defect in the above arguments?
[Hint: Recall how ∠B = ∠C is proved when AB = AC].
