English Medium Class 9 - CBSE Question Bank Solutions for Mathematics

The base and hypotenuse of a right triangle are respectively 5 cm and 13 cm long. Its area is ______.

If the area of an isosceles right triangle is 8 cm², what is the perimeter of the triangle?

The lengths of the sides of Δ ABC are consecutive integers. It Δ ABC has the same perimeter as an equilateral triangle with a side of length 9 cm, what is the length of the shortest side of ΔABC?

In the given figure, the ratio AD to DC is 3 to 2. If the area of Δ ABC is 40 cm², what is the area of Δ BDC?

If the length of a median of an equilateral triangle is x cm, then its area is

If every side of a triangle is doubled, then increase in the area of the triangle is

A square and an equilateral triangle have equal perimeters. If the diagonal of the square is \[12\sqrt{2}\]  cm, then area of the triangle is

A chord of a circle is equal to the radius of the circle. Find the angle subtended by the chord at a point on the minor arc and also at a point on the major arc.

Which of the following statements are true (T) and which are false (F):

If any two sides of a right triangle are respectively equal to two sides of other right triangle, then the two triangles are congruent.

Which of the following statements are true (T) and which are false (F):

Two right triangles are congruent if hypotenuse and a side of one triangle are respectively equal equal to the hypotenuse and a side of the other triangle.

In Δ ABC, ∠B = 35°, ∠C = 65° and the bisector of ∠BAC meets BC in P. Arrange AP, BP and CP in descending order.

In the given figure, prove that:

CD + DA + AB + BC > 2AC

In the given figure, prove that:

CD + DA + AB > BC

In triangles ABC and CDE, if AC = CE, BC = CD, ∠A = 60°, ∠C = 30° and ∠D = 90°. Are two triangles congruent?