CBSE X TRIANGLES 2

In Right angle triangle CAB, angle A = 90º, AB = 1 m, AC = 75 cm and from the point A perpendicular is drawn on Hypotenuse BC, such that AD is perpendicular to BC & BC = 1.25 m, then Find = AD.

• 93.75 cm

• 60.2 cm

• 75 cm

• 60 cm

The perimeters of two similar triangles ABC and PQR are 36 cm and 24 cm respectively. If PQ = 10 cm, find AB.

• 5 cm

• 10 cm

• 15 cm

• 20 cm

In  $\Delta$  ABC and  $\Delta$  PQR, in a one to one correspondence
AB/QR = BC/RP = CA/PQ, then

• PQR is similar to ABC 

• PQR is similar to CAB

• CBA is similar to PQR 

• BCA is similar to PQR

 $\Delta$  ABC and  $\Delta$  DEF are equilaterals triangles, A( $\Delta$  ABC) : A( $\Delta$  DEF) = 1 : 2, If AB = 4, then what is length of DE ?

• 2 root 2 

• 4

• 8

• 4 root 2

If  $\Delta$  ABC is similar to  $\Delta$  DEF such that AB = 1.2 cm and DE = 1.4 cm. Find the ratio of areas of  $\Delta$  ABC and  $\Delta$  DEF.

• 4/16 

• 25/36

• 36/49

• 50/100

 $\Delta$  ABC and  $\Delta$  BDE are two equilateral triangles such that D is the midpoint of BC. The ratio of the areas of triangles ABC and BDE is ….

• 2:1 

• 1:2

• 4:1

• 1:4

The hypotenuse of a right triangle is 6m more than the twice of the shortest side. If the third side is 2m less than the hypotenuse , find the sides of the triangle.

• 10 m, 26 m, 24 m

• 10 m, 12 m, 30 m

• 11 m, 12 m, 14 m

• 5 m, 15 m, 10 m

In  $\angle$  PQR , PQ = 8 , QR = 5 , PR = 3 . Is  $\Delta$  PQR is a right angled triangle ? If yes, which angle is 90º ?

•  $\angle$  R 

•  $\angle$  P

•  $\angle$  Q 

• Not a right angled triangle