English Medium कक्षा ९ - CBSE Question Bank Solutions

A triangle ABC can be constructed in which BC = 6 cm, ∠C = 30° and AC – AB = 4 cm.

A triangle ABC can be constructed in which ∠B = 105°, ∠C = 90° and AB + BC + AC = 10 cm.

A triangle ABC can be constructed in which ∠B = 60°, ∠C = 45° and AB + BC + AC = 12 cm.

Construct a triangle whose sides are 3.6 cm, 3.0 cm and 4.8 cm. Bisect the smallest angle and measure each part.

Construct a triangle ABC in which BC = 5 cm, ∠B = 60° and AC + AB = 7.5 cm.

Construct the following and give justification:

A triangle PQR given that QR = 3 cm, ∠PQR = 45° and QP – PR = 2 cm.

Construct the following and give justification:

A right triangle when one side is 3.5 cm and sum of other sides and the hypotenuse is 5.5 cm.

Construct the following and give justification:

An equilateral triangle if its altitude is 3.2 cm.

Construct the following and give justification:

A rhombus whose diagonals are 4 cm and 6 cm in lengths.

The perimeter of an equilateral triangle is 60 m. The area is ______.

The sides of a triangle are 56 cm, 60 cm and 52 cm long. Then the area of the triangle is ______.

The area of an equilateral triangle with side `2sqrt(3)` cm is ______.

The length of each side of an equilateral triangle having an area of `9sqrt(3)`cm² is ______.

If the area of an equilateral triangle is `16sqrt(3)` cm², then the perimeter of the triangle is ______.

The sides of a triangle are 35 cm, 54 cm and 61 cm, respectively. The length of its longest altitude ______.

The area of an isosceles triangle having base 2 cm and the length of one of the equal sides 4 cm, is ______.

The edges of a triangular board are 6 cm, 8 cm and 10 cm. The cost of painting it at the rate of 9 paise per cm² is ______.

The area of the equilateral triangle is `20sqrt(3)` cm² whose each side is 8 cm.

The area of a regular hexagon of side ‘a’ is the sum of the areas of the five equilateral triangles with side a.

In a triangle, the sides are given as 11 cm, 12 cm and 13 cm. The length of the altitude is 10.25 cm corresponding to the side having length 12 cm.