Home
Class 9
MATHS
ABC is a triangle and through A, B, C li...

ABC is a triangle and through A, B, C lines are drawn parallel to `BC, CA and AB` respectively intersecting at P, Q and R. Prove that the perimeter of `DeltaPQR` is double the perimeter of `DeltaABC.`

Promotional Banner

Topper's Solved these Questions

  • QUADRILATERALS

    NCERT BANGLISH|Exercise THINK, DISCUSS AND WRITE|2 Videos

  • QUADRILATERALS

    NCERT BANGLISH|Exercise TRY THIS|2 Videos

  • PROOFS IN MATHEMATICS

    NCERT BANGLISH|Exercise EXERCISE - 15.4|15 Videos

  • REAL NUMBERS

    NCERT BANGLISH|Exercise EXERCISE - 1.4|37 Videos

Similar Questions

Explore conceptually related problems

AD is a median of triangleABC . A straight line parallel to BC intersect AB and AC at P and Q respectively. Prove that AD bisects PQ.

In triangleABC , a straight line parallel to BC intersects AB and AC at P and Q respectively. If AB = 3PB, then PQ : BC =

In DeltaABC , AB = AC. The perpendiculars drawn from B and C to AC and AB respectively, intersect the sides AC and AB at the points E and F respectively. Prove that FE||BC.

In a right triangle ABC right-angled at B, if P and Q are points on the side AB and AC respectively, then___

Through point P(-1,4) , two perpendicular lines are drawn which intersect x-axis at Q and R. find the locus of incentre of Delta PQR .

ABC is a right-angled triangle of which /_A = right angle. P and Q are two points on AB and AC respectively.By joining P,Q,B,Q and C,P prove that BQ^(2) + PC^(2) = BC^(2) + PQ^(2)

The incircle of Delta ABC touches the sides AB, BC and CA of the triangle at the points D, E and F. Prove that AD + BE +CF=AF+CE +BD=1/2 (The perimeter of DeltaABC )

In a right triangle ABC, a circle with a side. AB as diameter is drawn to intersect the hypotenuse AC in P. Prove that the tangent to the circle at P bisects the side BC.

ABC is a triangle made up of wire.The resistances of the sides AB, BC and CA are respectively 40, 60 and 100Omega The equivalent resistance between the points A and B is :

D is any point on the side BC of DeltaABC . P and Q are centroids of DeltaABD and DeltaADC respectively. Prove that PQ||BC .