Construct a triangle `P Q R` with side `Q R=7c m` , `P Q=6c m` and `/_P Q R=60o` . Then construct another triangle whose sides are `3//5` of the corresponding sides of ` P Q R` .

In a triangle P Q R , let /_P Q R=30o and the sides P Q and Q R have lengths 10sqrt(3) and 10, respectively. Then, which of the following statement(s) is (are) TRUE? /_Q P R=45o (b) The area of the triangle P Q R is 25sqrt(3) and /_Q R P=120o (c) The radius of the incircle of the triangle P Q R is 10sqrt(3)-15 (d) The area of the circumcircle of the triangle P Q R is 100 pi

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 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 Fig. 4.238, S and T are points on the sides P Q and P R respectively of P Q R such that P T=2c m , T R=4c m and S T is parallel to Q R . Find the ratio of the areas of P S T and P Q R . (FIGURE)

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 ?

A B C is a triangle and P Q is a straight line meeting A B in P and A C in Q . If A P=1c m , P B=3c m , A Q=1. 5 c m , Q C=4. 5 m , prove that area of A P Q is one-sixteenth of the area of A B C .