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O is a point in the interior of a square...

O is a point in the interior of a square ABCD such that OAB is an equilateral triangle. Show that `triangleOCD` is an isosceles triangle.

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MODERN PUBLICATION-TRIANGLES-EXERCISE
  1. In trianglesABC and trianglePQR, it is given that AB=AC, angleC=angleP...

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  2. In triangleABC and triangleDEF, it is given that angleB=angleE and ang...

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  3. In triangleABC and triangleDEf, it is given that AB=DE and BC=EF in or...

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  4. If triangleABCequivtriangleLKM, then which side of triangleLKM equal ...

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  5. If triangleABC and PQR if angleA=angleR, angleB and angle P and AB=RP,...

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  6. In trianglePQRequivtriangleEFD, then angleE=

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  7. In an isosceles triangle, if the vertex angle is equal to the sum of t...

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  8. Which of the following is not true

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  9. In triangleABC, AB=AC and angleA=100^@, find angleB and angleC.

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  10. In trianglePQR what is the value of x

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  11. O is any point in the interior of triangleABC such that OB=OC and AB=A...

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  12. In triangleABC,angleB=35^@,angleC=65^@ and the bisector of angleBAC me...

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  13. ABC is an isosceles triangle with AB = AC and AD is one of its altitud...

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  14. CDE is an equilateral triangle formed on a side CD of a square ABCD(se...

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  15. CDE is an equilateral triangle formed on a side CD of a square ABCD(se...

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  16. D is any point on side AC of triangleABC with AB=AC show that CD>BD.

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  17. Bisectors of angles B and C of an isoscels triangles ABC with AB=AC in...

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  18. ABC is a right angled with AB=AC. Bisector of angleA meets BC at D. pr...

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  19. O is a point in the interior of a square ABCD such that OAB is an equi...

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  20. In a triangle ABC, D is the mid point of side AC such that BD=1/2AC. S...

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