English Medium कक्षा ९ - CBSE Question Bank Solutions

Fill in the blank to make the following statement true. 

In a right triangle the hypotenuse is the .... side. 

Fill in the blank to make the following statement true. 

The sum of three altitudes of a triangle is ..... than its perimeter. 

Fill in the blank to make the following statement true.  

The sum of any two sides of a triangle is .... than the third side. 

Fill in the blank to make the following statement true. 

If two angles of a triangle are unequal, then the smaller angle has the........ side opposite to it. 

Fill in the blank to make the following statement true. 

Difference of any two sides of a triangle is........ than the third side. 

Fill in the blank to make the following statement true.  

If two sides of a triangle are unequal, then the larger side has .... angle opposite to it. 

In the given figure, the sides BC, CA and AB of a Δ ABC have been produced to D, E and F respectively. If ∠ACD = 105° and ∠EAF = 45°, find all the angles of the Δ ABC.

ABC is a triangle. The bisector of the exterior angle at B and the bisector of ∠C intersect each other at D. Prove that ∠D = \[\frac{1}{2}\] ∠A.

If the angles of a triangle are in the ratio 2 : 1 : 3, then find the measure of smallest angle.

In the given figure, if AB || DE and BD || FG such that ∠FGH = 125° and ∠B = 55°, find x and y.

In ΔABC, if ∠A = 100°, AD bisects ∠A and AD ⊥ BC. Then, ∠B =

In a ΔABC, if ∠A = 60°, ∠B = 80° and the bisectors of ∠B and ∠C meet at O, then ∠BOC =

Line segments AB and CD intersect at O such that AC || DB. If ∠CAB = 45° and ∠CDB = 55°, then ∠BOD =

In the given figure, if EC || AB, ∠ECD = 70° and ∠BDO = 20°, then ∠OBD is

In the given figure, x + y =

If the measures of angles of a triangle are in the ratio of 3 : 4 : 5, what is the measure of the smallest angle of the triangle?

In the given figure, if AB ⊥ BC. then x =