Without drawing the triangles, state the correspondence between the sides and the angles of the following pairs of congruent triangles: ` A B C~= P Q R` (b) ` A B C~=Q R P`

Triangles having equal areas and having one side of one of the triangles, equal to one side of the other, have their corresponding altitudes equal. GIVEN : Two triangles A B C and P Q R such that: a r( A B C)=A R( P Q R) (ii)B=P Q

In a triangle ABC, a, b and c are the lengths of the sides and p, q and r are the lengths of its medians. Which one of the following is correct ?

In Figure, two sides A B\ a n d\ B C and the median A D\ of A B C are equal respectively to the two sides P Q\ a n d\ Q R and the median P M of the other triangle P Q Rdot Prove that A B D~= P Q M (ii) A B C\ ~=\ \ P Q R

Which of the following pairs of triangles are congruent? If they are congruent, write out the pairs of equal angles. A B C : A B=3c m , B C=4c m , C A=2 c m D E F : D E=2 c m , E F=3 c m a n d F D=4 c m P Q R : P Q=17 c m , Q R=15 c m , P R=18 c m D E F : D E=18 c m , E F=17 c m , D F=15 c m .

If A B C~= P Q R and A B C is not congruent to R P Q , then which of the following not true: B C=P Q (b) A C=P R (c) A B=P Q (D) Q R=B C

Consider a triangle PQR having sides of lengths p,q,r opposite to the angles P,Q,R respectively. Then which of the following statements is (are) true?

Triangles on the same base and between the same parallels are equal in area. GIVEN : Two triangles A B C and P B C on the same base B C and between the same parallel lines B C and A Pdot TO PROVE : a r( A B C)=a r( P B C) CONSTRUCTION : Through B , draw B D C A intersecting P A produced in D and through C , draw C Q B P , intersecting line A P in Q.

If the centroid of the triangle formed by points P(a,b),Q(b,c) and R(c,a) is at the origin, what is the value of a+b+c?