# Identify and calculate the area and perimeter for each triangle.

The perimeter of a triangle is defined as the total distance around the triangular shape and the area of a triangle is the space occupied within the perimeter of the triangle.

## Answer: (a) Perimeter = 30 units and Area = 30 sq. units, (b) Perimeter = 18 units and Area = 9⎷3 sq. units

We will use the formula of area of the right-angled triangle and equilateral triangle to find the required area.

**Explanation:**

(a) Perimeter = (13 + 12 + 5) units = 30 units

Area of Right-angled triangle = 1/2 × Base × Height = (1/2 × 12 × 5) sq. units = 30 sq. units.

(b) Perimeter = (6 + 6 + 6) units = 18 units

Area of equilateral triangle = ⎷3/4 × (side)^{2} = ⎷3/4 × (6)^{2} = 9⎷3 sq. units