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`triangleABC` is an isosceles triangle with AC = BC. If `AB^(2)= 2AC^(2)` . Prove that ` triangle ABC` is a right triangle.

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NAGEEN PRAKASHAN ENGLISH-TRIANGLES -Exercise 6d
  1. In the adjoining figure: anglePSQ= 90^(@) , PQ= 10 cm , QS = 6cm and R...

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  2. ABC is a isosceles right angled triangle, right angled at C. prove tha...

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  3. triangleABC is an isosceles triangle with AC = BC. If AB^(2)= 2AC^(2) ...

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  4. In an equilateral triangleABC, AD is the altitude drawn from A on the ...

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  5. M and N are point on sides QR and PQ respectively of /\ PQR, right-an...

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  6. The given figure shows a triangle ABC, in which AB gt AC. E is the mi...

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  7. In a square ABCD, show that AC^(2) = 2AB^(2).

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  8. In a rhombus ABCD, prove that AC^(2) + BD^(2) = 4AB^(2)

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  9. In triangle ABC, angle A =90^(@), CA=AB and D is a point on AB produce...

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  10. In acute angled triangle ABC, AD is median and AE is altitude , prove...

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  11. The following figure shows a triangle ABC in which AD is a median and ...

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  12. From a point O in the interior of a A B C , perpendiculars O...

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  13. In an acute angled triangle ABC, AD is the median in it. then : AD^...

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  14. In a right triangle ABC, right angled at A, AD is drawn perpendicular ...

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  15. In the given figure , ABC is a right triangle, right angled at B. Medi...

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  16. In the given figure , angleQPR= 90^(@) QR = 26 cm PM = 6cm, MR = 8c...

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  17. Given a right angled triangleABC. The lengths of the sides containing ...

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  18. In an acute-angled triangle, express a median in terms of its sides...

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  19. In a quadrilateral ABCD, angleB=90^(@) and AD^(2)= AB^(2) + BC^(2)+CD^...

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  20. A B C is a right triangle right-angled at Ca n dA C=sqrt(3)B C . Prove...

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