PRESENTED BY:

SAI PRIYA S

REG NO: 13973015

MATHEMATICS

K.U.C.T.E KOLLAM

NAME OF THE TEACHER: SAI PRIYA S

STANDARD : VIII

SUBJECT : MATHEMATICS

UNIT :RATIO ANDPROPORTION

TOPIC : CENTROID OF A TRIANGLE

OBJECTIVE

CONCEPT OF CENTROID OF A TRIANGLE.

B

A

C

F E

D

B

A

C

F E

D

B C

F E

D

A

B C

F E

D

A

D

THE MIDPOINT OF THE SIDES OF A TRIANGLE WHEN JOINED BY A LINE WITH THE OPPOSITE VERTEX FORMS THE MEDIAN.

B C

F E

D

A

D

THE THREE MEDIANS IN A TRIANGLE PASS THROUGH A SINGLE POINT WITHIN THE TRIANGLE. THIS POINT IS CALLED CENTROID OF THE TRIANGLE

B C

F E

D

A

D

B C

F E

D

A

D

AG/BG = BG/GE = CG/GF = 2/1

IN A TRIANGLE THE MIDPOINT DIVIDES EACH OF THE MEDIANS IN THE RATIO 2:1