Q. 34.1( 10 Votes )

Sahana drew a rectangle ABCD of which AB = 4 cm and BC = 6 cm. I draw a triangle with equal area of that rectangle.

Answer :

A. Draw the given rectangle ABCD.



B. Draw the diagonal AC of rectangle ABCD.


C. Draw a parallel line through point D to diagonal AC of rectangle ABCD which intersects at F produced BC.


D. DF||AC, ΔABE is the required triangle.



Proof:


∆ACE = ∆ADC (on same base AC and between same parallels AC and DE)


∆ACE = ∆ADC


∆ABC + ∆ADC = ∆ACE + ∆ABC (adding area of ∆ABC on both sides)


rectangle ABCD = ∆ABE


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Champ Quiz | Area of TriangleChamp Quiz | Area of TriangleChamp Quiz | Area of Triangle53 mins
Surface Area of Right Circular CylinderSurface Area of Right Circular CylinderSurface Area of Right Circular Cylinder52 mins
Preparation of a Microscopic SlidePreparation of a Microscopic SlidePreparation of a Microscopic Slide38 mins
Quiz | Become a Master of Conservation of MomentumQuiz | Become a Master of Conservation of MomentumQuiz | Become a Master of Conservation of Momentum32 mins
Be a Master of Calculation !Be a Master of Calculation !Be a Master of Calculation !47 mins
Concept of Cyclic QuadrilateralConcept of Cyclic QuadrilateralConcept of Cyclic Quadrilateral61 mins
Champ Quiz | QuadrilateralChamp Quiz | QuadrilateralChamp Quiz | Quadrilateral50 mins
Quiz | Angle Sum Property of TriangleQuiz | Angle Sum Property of TriangleQuiz | Angle Sum Property of Triangle40 mins
NCERT | Characteristics of a Sound WaveNCERT | Characteristics of a Sound WaveNCERT | Characteristics of a Sound Wave41 mins
Quiz | Basics of QuadrilateralsQuiz | Basics of QuadrilateralsQuiz | Basics of Quadrilaterals36 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :