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If any one of the angles of the isosceles triangle is the right angle then the square of longest side will be?1. Twice to shorter side2. Half of shorter side3. Equal to shorter side4. None of these |
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Answer» Correct Answer - Option 1 : Twice to shorter side Given: An isosceles triangle with one right angle is given Concept Used: According to Pythagoras theorem In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides Calculation: Let suppose PQR is and isosceles triangle right angled at Q and PR is longest ∴ PQ = QR Now, according to the Pythagoras theorem ∴ PR2 = PQ2 + QR2 ⇒ PR2 = 2PQ2 |
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