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Prove that the area of the semicircle dr...

Prove that the area of the semicircle drawn on the hypotenuse of a right angled triangle is equal to the sum of the areas of the semicircles drawn on the other two sides of the triangle

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If the sum of a side and hypotenuse of a right angled triangle is given then show that area of triangle will be maximum when the angle between side and the hypotenuse is pi//3 .

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OSWAL PUBLICATION-TRIANGLES-NCERT EXEMPLAR ( EXERCISE - 6.4 )
  1. In given figure, if angleA=angleC, AB= 6 cm, BP = 15 cm, AP = 12 cm an...

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  2. It is given that DeltaABC~DeltaEDF such that AB=5 cm, AC=7 cm, DF= 15...

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  3. Theorem 6.1 : If a line is drawn parallel to one side of a triangle to...

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  4. In the figure given below if PQRS is a parallelogram and AB |PS then ...

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  5. A 5 m long ladder is placed leaning towards a vertical wall such that ...

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  6. For going to a city B from city A there is a route via city C such tha...

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  7. A flag pole 18 m high casts a shadow 9.6 m long. Find the distance of ...

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  8. A street light bulb is fixed on a pole 6 m above the level of the stre...

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  9. In given figure, ABC is a triangle right angled at B and BDbotAC. If A...

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  10. In given figure PQR is a right angled triangle, right angled at Q and ...

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  11. Ii DeltaPQR, PDbotQR such that D lies on QR, if PQ=a,PR=b,QD=c and DR=...

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  12. In a quadrilateral ABCD, angleA+angleD=90^(@). Prove that AC^(2)+BD^...

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  13. In given figure,labs()m and liner segments AB, CD and EF are concurren...

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  14. 14 In Fig. 6.21, PA, QB Rc and SD are all perpendiculars to a line l, ...

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  15. O is the point of intersection of the diagonals AC and BD of a trapezi...

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  16. In figure, line segment DF intersects the side AC of a DeltaABC at the...

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  17. Prove that the area of the semicircle drawn on the hypotenuse of a rig...

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  18. Prove that the area of the equilateral triangle drawn on the hypotenu...

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