How to find the Areas of an Isosceles Triangle and an Equilateral Triangle?

How to find the Areas of an Isosceles Triangle and an Equilateral Triangle?

Area of a triangle

You can also use Equilatoral Triangle Calculator to find the area and perimeter.

How to find the Areas of an Isosceles Triangle and an Equilateral Triangle 1

Area of a right triangle

How to find the Areas of an Isosceles Triangle and an Equilateral Triangle 2

Area of an equilateral triangle

How to find the Areas of an Isosceles Triangle and an Equilateral Triangle 3
How to find the Areas of an Isosceles Triangle and an Equilateral Triangle 4

Area of isosceles triangle

How to find the Areas of an Isosceles Triangle and an Equilateral Triangle 5

Areas of an Isosceles Triangle and an Equilateral Triangle Problems with Solutions

1. Find the area of the following triangles :
How to find the Areas of an Isosceles Triangle and an Equilateral Triangle 6
Solution:
(i) Base = 6 cm and height = 5 cm.
∴ Area of the triangle = ½ × base × height
= ½ × 6 cm × 5 cm = 3 cm × 5 cm
= 15 sq cm.

(ii) Base = 3.2 cm and height = 2 cm.
Therefore, area = ½ × base × height
= ½ × 3.2 × 2 = 3.2 cm × 1 cm = 3.2 sq cm

(iii) Base = 6 cm and height = 7.4 cm.
Therefore, area = ½ × base × height
= ½ × 6 cm × 7.4 cm = 3 cm × 7.4 cm
= 22.2 sq cm.

(iv) Base = 10 cm and height = 7.5 cm.
∴ Area of the triangle = ½ × base × height
= ½ × 10 cm × 7.5 cm = 5 cm × 7.5 cm
= 37.5 sq cm.

2. Find the height of a triangle whose base is  60 cm in figure and whose area is 600 sq cm.
How to find the Areas of an Isosceles Triangle and an Equilateral Triangle 7
Solution:
How to find the Areas of an Isosceles Triangle and an Equilateral Triangle 8