Home
Class 10
MATHS
A line cuts two sides AB and side AC of ...

A line cuts two sides AB and side AC of `DeltaABC` in point P and Q respectively.
Show that `(A(DeltaABC))/((A(DeltaAPQ)))=(APxxAQ)/(ABxxAC)`

Text Solution

Verified by Experts

The correct Answer is:
`therefore(A(DeltaABC))/((A(DeltaAPQ)))=(APxxAQ)/(ABxxAC)`
Promotional Banner

Topper's Solved these Questions

  • CHALLENGING QUESTIONS

    CHETAN PUBLICATION|Exercise Theorem of Pythagoras|7 Videos
  • CHALLENGING QUESTIONS

    CHETAN PUBLICATION|Exercise Circle|9 Videos
  • CHALLENGING QUESTIONS

    CHETAN PUBLICATION|Exercise Statistics|4 Videos
  • ARITHMETIC PROGRESSION

    CHETAN PUBLICATION|Exercise ASSIGENMENT -3|10 Videos
  • CIRCLE

    CHETAN PUBLICATION|Exercise Assignment - 3 (Solve any two of the following questions):|3 Videos

Similar Questions

Explore conceptually related problems

Atempt any two of the following : In the adjoining figure , in the adjoining figure , in Delta ABC, A-P-Band A-Q-C "Prove that " (A(DeltaAPQ))/(A(DeltaABC))=(APxxAQ)/(ABxxAC)

In the adjacent figure, we have AC = XD, C and D are mid points of AB and XY respectively. Show that AB = XY.

Let P be an interior point of a triangle ABC and AP, BP, CP meet the sides BC, CA, AB in D, E, F, respectively. Show that (AP)/(PD)=(AF)/(FB)+(AE)/(EC) .

In a triangle ABC, if D and E are mid points of sides AB and AC respectively. Show that vecBE+ vecDC=(3)/(2)vecBC .

In DeltaABC , angleABC=90^(@). DeltaPAB, DeltaQACandDeltaRBC are the equilateral triangles contructed on sides AB , AC and BC repectively. Prove that : A(DeltaPAB)+A(DeltaRBC)=A(DeltaQAC)

D is a point on side BC of DeltaABC such that , angleADC=angleBAC . Show that AC^(2)= BCxxDC .

If a straight line intersects the sides AB and AC of a triangle ABC at D and E respectively and is parallel to BC , then (AE)/(AC) = . ………..

In DeltaABC , P is a point on side BC such that BP = 4 cm and PC = 7 cm. A(DeltaAPC):A(DeltaABC) = ………………

In the figure , in DeltaABC , point D on side BC is such that , DeltaBAC~=DeltaADC then prove that , CA^(2)-=CBxxCD .

Bisector of angleB" and "angle C " in "DeltaABC meet each other at P. Line Ap cuts the side BC at Q. Then prove that : (AP)/(PQ)=(AB+BC)/(BC)