MEDIUM
9th West Bengal Board
IMPORTANT
Earn 100

Prove that sum of the perpendiculars drawn from any interior point of an equilateral triangle to its sides equal to its height.

Important Questions on Theorems on Areas

EASY
9th West Bengal Board
IMPORTANT
MATHEMATICS CLASS 9>Chapter 12 - Theorems on Areas>EXERCISE-3>Q 1
D is any point on the side QR of the parallelogram PQRS. ∆PQD and ∆SDR have the areas 16 sq.cm and 20 sq.cm respectively, then QD:RD
EASY
9th West Bengal Board
IMPORTANT
MATHEMATICS CLASS 9>Chapter 12 - Theorems on Areas>EXERCISE-3>Q 1
E is any point on the side BC of the parallelogram ABCD. If ∆ABE and ∆DCE have the areas 10 sq. cms and 12 sq. cms respectively, then the area of the parallelogram ABCD=
EASY
9th West Bengal Board
IMPORTANT
MATHEMATICS CLASS 9>Chapter 12 - Theorems on Areas>EXERCISE-3>Q 1
The area of a rhombus is ____ the area of triangle having same base and between the same parallels
EASY
9th West Bengal Board
IMPORTANT
MATHEMATICS CLASS 9>Chapter 12 - Theorems on Areas>EXERCISE-3>Q 1
The length of the base AB of the parallelogram ABCD is 10 cm. If the area of ABCD be 110 sq. cm, then the height of ABCD with respect to the base AB is
EASY
9th West Bengal Board
IMPORTANT
MATHEMATICS CLASS 9>Chapter 12 - Theorems on Areas>EXERCISE-3>Q 1
P is any point on the side BC of the parallelogram ABCD. Extended DP intersects AB at Q. If the area of the ∆ACD is 22 sq. cm, then the area of the ∆DCQ is
EASY
9th West Bengal Board
IMPORTANT
MATHEMATICS CLASS 9>Chapter 12 - Theorems on Areas>EXERCISE-3>Q 1
A parallelogram of area P, a rhombus of area R and a triangle of area T sq.units are on the same base and between the same parallels, then which one of the following is true?
EASY
9th West Bengal Board
IMPORTANT
MATHEMATICS CLASS 9>Chapter 12 - Theorems on Areas>EXERCISE-3>Q 1
In the trapezium ABCD, AB∥DC (AB<DC) and AE⊥DC. If AB=a, DC=b and AE=h, then the area of trapezium ABCD is 
MEDIUM
9th West Bengal Board
IMPORTANT
MATHEMATICS CLASS 9>Chapter 12 - Theorems on Areas>EXERCISE-3>Q 22
In isosceles triangle ABC. D and E are the midpoints of the sides AB and AC. If BE and CD intersects each other at F, prove that △BDE=3△DEF.