CBSE Maths Subject Notes

CBSE Guess > eBooks > Class X > Mathematics Definitions and Formula By Mr. Appala Raju

Mathematics Definitions and Formula

Q. 9. term of an A.P = a + (n-1 ) d

Q. 10. um of n terms of an A.P :

(or)

Q. 11. Two triangles are said to be similar , if

(i) All the corresponding angles are equal

(ii) All the corresponding sides are proportional.

Q. 12. Basic proportionality theorem (Thales theorem ). In a triangle , if a line is drawn parallel to one side of a triangle it divides the other two sides in the same ratio,

i.e., if in ABC , DE|| BC , then =

Q. 13. CONVERSE OF BASIC PROPORTIONALITY THEOREM : In a triangle , if a line divides the two sides in the same ratio , then line is parallel to the third side .

i. e ., in ABC , if DE is a line such that = = , then DE|| BC

Q. 14. If two triangles are similar , then the ratio of their areas is equal to the ratio of the squares of their corresponding sides .i.e., if ABC   DEF Then

= = =

Q. 15. PYTHAGORAS THEOREM :In a right angled triangle , the square of the hypotenuse is equal to sum of the squares of the other two sides .

Q. 16. CONVERSE OF THE PYTHAGORAS THEOREM : In a triangle , if square of one side is equal to the sum of the squares of the other two sides , then triangle is right angled .

Q. 17. DISTANCE FORMULA : Distance between two points , A ( , ) and B( , ) is given by
AB =

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