In two similar triangles `A B C` and `P Q R` , if their corresponding altitudes `A D` and `P S` are in the ratio 4:9, find the ratio of the areas of ` A B C` and ` P Q R` .

In two similar triangles A B C and P Q R , if their corresponding altitudes A D and P S are in the ratio 4:9, find the ratio of the areas of triangle A B C and triangle P Q R .

If the areas of two similar triangles A B C and P Q R are in the ratio 9: 16 and B C=4. 5 c m , what is the length of Q R ?

The perimeters of two similar triangles A B C and P Q R are respectively 36cm and 24cm. If P Q=10 c m , find A B .

The areas of two similar triangles A B C and P Q R are in the ratio 9: 16 . If B C=4. 5 c m , find the length of Q R .

In A B C , P divides the side A B such that A P : P B=1:2 . Q is a point in A C such that P Q B C . Find the ratio of the areas of A P Q and trapezium B P Q C .

In A B C , P divides the side A B such that A P : P B=1:2 . Q is a point in A C such that P Q B C . Find the ratio of the areas of A P Q and trapezium B P Q C .

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 Figure, 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 .