WORKSHEET ON AREA AND PERIMETER OF TRIANGLE

Problem 1 :

Find the area of an equilateral triangle with side 10 cm.

Solution

Problem 2 :

If the angles of a triangle are in the ratio 2: 3: 4 find the angles of the triangle.

Solution

Problem 3 :

The area of a triangle is 48 cm². If its base is 12 cm, find its altitude.

Solution

Problem 4 :

The hypotenuse of an isosceles right triangle is 10 cm. Find its area.

Solution

Problem 5 :

A rhombus has perimeter 120 m and one of its diagonal is 50 m. Find the area of the rhombus.

Solution

Problem 6 :

The area of an equilateral triangle is 2√3 cm². Find its perimeter.

Solution

Problem 7 :

The area of an equilateral triangle is 81√3 cm², find its height.

Solution

Problem 8 :

Find the area of a triangle whose sides are 13 cm, 14 cm and 15 cm respectively.

Solution

Problem 9 :

Find the area of an isosceles triangle whose equal sides measure 13 cm each and the base measures 24 cm.

Solution

Problem 10 :

Prove that the area of a quadrilateral ABCD is 4(√3 + 2√2)m². AB = 6 cm, BC = 6 cm, CD = 4 cm and AD = 4 cm and diagonal AC = 4 cm.

Solution

Problem 11 :

The perimeter of a right angles is 144 cm and its hypotenuse measures 65 cm. Find the length of other sides and calculate its area. Verify the result using Heron's formula

Solution

Problem 12 :

Find the perimeter of an isosceles right triangle having an area equal to 200 cm².

Solution

Problem 13 :

The area of an isosceles right triangle is 128 cm². Find the length of its hypotenuse.

Solution