Prove that the area of a quadrilateral formed by joining midpoint of the adjacent sides of quadrilateral is half the area of given quadrilateral. Class 9 | Area Theorem

 Given:- let P,Q,R,S is the midpoint of Side CD,DA,AB,BC of quadrilateral ABCD 

 

Class 9 Area Theorem MCQ FM 20

ABCD is a trapezium with AB parallel to DC. A line parallel to AC intersect AB at X and BC at Y. Prove ar (ADX) = ar(ACY)

 

class 9 ICSE SELINA ex 16C question 6 | The perimeter of a triangle ABC is 37 cm and the ratio between the lengths of its altitudes be 6 : 5 : 4. Find the lengths of its sides.

 

class 9 Icse selina math Ex 16C question 4 | In parallelogram ABCD, P is mid-point of AB. CP and BD intersect each other at point O. If area of POB = 40 cm^2, and OP : OC = 1:2, find: (i) Areas of BOC and PBC (ii) Areas of ABC and parallelogram ABCD.

 

Class 9 ICSE SELINA Mathe ex 16B question 8 | a triangle ABC in which P, Q and R are mid-points of sides AB, BC and CA respectively. S is mid-point of PQ: Prove that: ar.(∆ ABC) = 8 × ar.(∆ QSB)

 

Class 9 ICSE SELINA math ex 16B question 7 ABCD is a parallelogram in which BC is produced to E such that CE = BC and AE intersects CD at F.if ar.(∆DFB) = 30 cm2; find the area of parallelogram

 

Class 9 ICSE SELINA Math ex 16A question 15 | ABCD is trapezium with AB // DC. A line parallel to AC intersects AB at point M and BC at point N. Prove that: area of Δ ADM = area of Δ ACN.

 

ABCD is a trapezium with AB || DC. A line parallel to AC intersects AB at X and BC at Y. To Prove: ar(ΔADX) = ar(ΔACY). CLASS 9 ICSE SELINA AREA THEOREM EX 16C QUESTION 11

 

class 9 Area theorem A triangle and a Parallelogram have the same base and the same area . if the sides of the triangle are 26 cm, 28cm, 30cm, and the parallelogram stands on the base 28cm, find height of the parallelogram

 

ICSE SELINA class 9 area theorem ex 16A question 10

 

ICSE class 9 Selina area theorem ex 16A question 7

For another method click here

 

Show that a median divides into two triangle of equal areas. In the given figure area of triangle PQR=44cm^2. PL=LR and QM=MR. FIND AREA OF TRIANGLE LMR

 

Triangle ABC is right angled at B. Given that AB=9 cm, AC= 15 cm and D,E are the mid point of the Sides AB and AC respectively, Calculate (i) Th length of BC, (ii) The are of triangle ADE

ICSE SELINA CLASS 9 ex 21c question 3

ISCE SELINA CLASS 9 ex 21A question 12

Class 9 ICSE SELINA EX 16C question 11 | ABCD is a trapezium with AB parallel to DC. A line parallel to AC intersect AB at X and BC at Y. Prove that area of ADX= area of ACY

ABCD is a trapezium with AB parallel to DC. A line parallel to AC intersect AB at X and BC at Y.

Prove that area of ADX= area of ACY

Class 9 ICSE SELINA EX 16C question 8

Class 9 ICSE SELINA EX 16C question 3

Class 9 ICSE SELINA ex 16B question 5