In Fig. 4.91, `Q A` and `P B` are perpendiculars to `A B` . If `A O=10 c m` , `B O=6c m` and `P B=9c m` . Find `A Q` . (FIGURE)

In Fig. 4.166, P B and Q A are perpendiculars to segment A Bdot If P O=5c m , Q O=7c m and Area P O B=150\ c m^2 find the area of Q O A . (FIGURE)

In Fig. 4.230, each of P A ,\ Q B ,\ R C and S D is perpendicular to l . If A B=6c m , B C=9c m , C D=12 c m and P S=36 c m , then determine P Q ,\ Q R and R S . (FIGURE)

In Fig. 4.41, A D is the bisector of /_A . If B D=4c m , D C=3c m and A B=6c m , determine A C . (FIGURE)

In Figure, each of P A ,\ Q B ,\ R C and S D is perpendicular to l . If A B=6c m , B C=9c m , C D=12 c m and P S=36 c m , then determine P Q ,\ Q R and R S .

In Fig. 4.42, A D is the bisector of /_B A C . If A B=10 c m . A C=14 c m and B C=6c m , find B D and D C . (FIGURE)

In Fig. 4.140, /_A B C=90o and B D_|_A C . If A B=5. 7 c m , B D=3. 8\ c m and C D=5. 4 c m , find B C . (FIGURE)

In Fig. 4.57, A E is the bisector of the exterior /_C A D meeting B C produced in E . If A B=10 c m , A C=6c m and B C=12 c m , find C E . (FIGURE)

In Fig. 4.57, A E is the bisector of the exterior /_C A D meeting B C produced in E . If A B=10 c m , A C=6c m and B C=12 c m , find C E . (FIGURE)

In Fig. 4.136, A C B A P Q . If B C=8c m , P Q=4c m , B A=6. 5 c m and A P=2. 8 c m , find C A and A Q . (FIGURE)

In A B C , P and Q are points on sides A B and A C respectively such that P Q ||B C . If A P=3c m , P B=5c m and A C=8c m , find A Q .