Identify and calculate the area and perimeter for each triangle.

The perimeter of a triangle is defined as the total boundary of the triangle and the area of a triangle is the space occupied by the triangle.

Answer: (a) Perimeter = 30 units and Area = 30 square units (b) Perimeter = 18 units and Area = 9⎷3 square units

The first triangle is a right-angled triangle and the second triangle is an equilateral triangle.

Explanation:

(a) Perimeter of the first triangle (right-angled triangle) = (13 + 12 + 5) units = 30 units

Area of the right-angled triangle = 1/2 × Base × Height = (1/2 × 12 × 5) square units = 30 square units

(b) Perimeter of the second triangle (equilateral triangle) = (6 + 6 + 6) units = 18 units

Area of equilateral triangle = ⎷3/4 × (side)² = ⎷3/4 × (6)² = 9⎷3 square units

So, the perimeter of the right-angled triangle = 30 units, and its area = 30 square units. The perimeter of the equilateral triangle = 18 units and its area = 9⎷3 square units.