Construct a triangle similar to ` A B C` in which `A B=4. 6 c m` , `B C=5. 1 c m` , `/_A=60o` with scale factor `4\ :5` .

Draw a triangle A B C with A B=6\ c m ,\ B C=7\ c m and C A=8\ c mdot Using ruler and compass alone, draw (i) the bisector A D\ of \ /_A and (ii) perpendicular A L from A on B Cdot Measure L A Ddot

Which of the following pairs of triangles are congruent? A B C : A B=2\ c m ,\ A C=4\ c m ,\ /_A=40^0; X Y Z : X Z=Y Z=4,/_Z=40^0 P Q R : P Q=5\ c m ,\ P R=6\ c m ,\ /_P=55^0;\ D E F : D E=6\ c m ,\ E F=5\ c m ,\ /_D=55^0

Angles opposite to two equal sides of a triangle are equal. GIVEN : A B C in which A B=A C TO PROVE : /_C=/_B CONSTRUCTION : Draw the bisector A D of /_A which meets B C in D Figure

If A B C and DEF are two triangles such that A B C ~= F D E a n d A B=5c m , /_B=40^0 a n d /_A=80^0dot Then, which of the following is true? D F=5c m , /_F=60^0 (b) D E=5c m , /_E=60^0 D F=5 c m , /_E=60^0 (d) D E=5c m , /_D=40^0

In a A B C ,\ \ D\ a n d\ E are points on the sides A B and A C respectively. For each of the following cases show that D E B C : A B=10. 8 c m ,\ \ B D=4. 5\ c m ,\ \ A C=4. 8 c m\ a n d\ A E=2. 8 c m (ii) A D=5. 7 c m ,\ \ B D=9. 5 c m ,\ \ A E=3. 3 c m\ a n d\ E C=5. 5 c m .

In which of the following cases can a right triangle A B C be constructed? A B=5\ c m ,\ B C=7\ c m ,\ A C=10\ c m A B=7\ c m ,\ B C=8\ c m ,\ A C=12\ c m A B=8\ c m ,\ B C=17\ c m ,\ A C=15\ c m None of these