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Prove that the line segment joining the ...

Prove that the line segment joining the midpoints of the two sides of a triangle is half of the third side.

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The line joining the mid point of one side of a triangle from opposite vertex in called ......

The sum of lengths of any two sides of a triangle is ............. the third side of the triangle.

If the area of the triangle formed by joining the midpoints of the sides of DeltaABC is 5 sq.unit, then the area of DeltaABC is

Assertion (A) : The radius of the circle inscribed in the triangle obtained by joining the middle points of the sides of DeltaABC is equal to half the radius of incircle of DeltaABC Reasons (R): In DeltaABC D, E, F be midpoints of the sides of DeltaABC, Delta 2s s denote area and perimeter of DeltaDEF then Delta=Delta//4= and s=s//2

Assertion (A) : The radius of the circle inscribed in the triangle obtained by joining the middle points of the sides of Delta ABC is equal to half the radius of incircle of Delta ABC Reason (R ) : In Delta ABC, D,E,F be midpoints of the sides of Delta ABC , Delta ' , 2s' denotes area and perimeter of Delta DEF " then " Delta ' = Delta//4 and s' =s//2

AAKASH SERIES-3D-COORDINATE SYSTEM-ADDITIONAL EXERCISE
  1. Find the area of the triangle whose vertices are (1,1,1),(1,2,3),(2,0,...

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  2. The transformed equation of 2x^2+3y^2-z^2-8x+18y+2z+9=0 when the axes ...

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  3. The point to which the axes should be translated to eliminate first de...

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  4. Find the ratio in which the centroid of tetrahedron ABCD divides the l...

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  5. The circumcentre of the triangle formed by the pointgs (1,2,3), (3,-1,...

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  6. The centroid of the triangle formed by the points (1,2,3),(2,3,1),(3,1...

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  7. Find the orthocenter of the triangle formed by the points (2,1,5),(3,2...

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  8. Find the orthocenter of the triangle formed by the points (2,-1,1),(1,...

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  9. If ("Cos"alpha, "Sin"alpha,0),(cos beta, sin beta,0), (cos gamma, sin ...

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  10. If origin is the orthocentre of a triangle formed bythe points (cos al...

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  11. If the orthocentre and the centroid of a triangle are (-3,51),(3,3,-1)...

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  12. If the orthocentre and the circucentre of are (-3,5,2) ,(6,2,5) then i...

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  13. If (2, 5, 1) and (9, 10, 5) are the ends of a diagonal of a rectangul...

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  14. If L and M are the feet of the perpendiculars from the point (2,4,5) t...

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  15. If A,B are the feet of the perpendicular from P (2,4,5) to the x-axis ...

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  16. The locus of a point P from which the distance to the point (1,1,1) is...

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  17. Find the equation to the locus of the point for which the sum of the s...

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  18. The locus of the point P such that PA + PB = 4 where A=(2,3,4) , B=(-2...

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  19. Prove that the line segment joining the midpoints of the two sides of ...

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  20. Find the ratios in which the join of (12,-4,8) and (27,-9,18) is inter...

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