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In the following diagrams, ABCD is a squ...

In the following diagrams, ABCD is a square and APB is an equilateral triangle. In each case,
(i) Prove that : `Delta APD ~= Delta BPC`
(ii) Find the angles of `Delta DPC`

Text Solution

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The correct Answer is:
(ii) `15^(@), 150^(@) and 15^(@) ; 75^(@), 30^(@) and 75^(@)`
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ICSE-TRIANGLES -EXERCISE 9(B)
  1. On the sides AB and AC of triangle ABC, equilateral triangles ABD and ...

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  2. In the following diagrams, ABCD is a square and APB is an equilateral ...

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  3. In the figure, given below, triangle ABC is right-angled at B. ABPQ an...

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  4. In a Delta ABC, BD is the median to the side AC, BD is produced to E s...

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  5. In the adjoining figure, QX and RX are the bisectors of the angles Q a...

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  6. In the parallelogram ABCD, the angles A and C are obtuse. Points X and...

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  7. ABCD is a parallelogram. The sides AB and AD are produced to E and F r...

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  8. In the following figures, the sides AB and BC and the median AD of tri...

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  9. In the following diagram, AP and BQ are equal and parallel to each oth...

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  10. In the following figure, OA = OC and AB = BC. Prove that : (i) angle...

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  11. The following figure shows a triangle ABC in which AB = AC. M is a poi...

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  12. In a triangle ABC, AB = BC, AD is perpendicular to side BC and CE is p...

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  13. PQRS is a parallelogram. L and M are points on PQ and SR respectively ...

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  14. In the following figure, ABC is an equilateral triangle in which QP is...

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  15. In the following figure, angle A = angle C and AB = BC. Prove tha...

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  16. AD and BC are equal perpendiculars to a line segment AB. If AD and BC ...

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  17. In Delta ABC, AB = AC and the bisectors of angles B and C intersect at...

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  18. In the following figure, AB = EF, BC = DE and angle B = angle E = 90^(...

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  19. A point O is taken inside a rhombus ABCD such that its distances from ...

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  20. In quadrilateral ABCD, AD = BC and BD = CA. Prove that : (i) angle A...

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