**Finding the area of a triangle :**

The area A of a triangle is half the product of the length of its base b and its height h.

Area of a triangle = (1/2) x b x h

here "b" and "h" are base and height of the triangle respectively.

**Example 1 :**

Find the area of the triangle given below

**Solution :**

Area of the triangle = (1/2) x b x h

b = 20 m and h = 8 m

= (1/2) x 20 x 8

= 10 x 8 = 80 square meter

**Example 2 :**

Find the area of the triangle given below

Area of the triangle = (1/2) x b x h

b = 8.5 inches and h = 14 inches

= (1/2) x 8.5 x 14

= 8.5 x 7 = 59.5 square inches

**Example 3 :**

What is the area of a triangle that has a base of 15 ¼ inches and a height of 18 in.?

**Solution :**

base of the triangle = 15 ¼ inches

height of the triangle = 18 inches

Area of the triangle = (1/2) x b x h

= (1/2) x 15 ¼ x 18

by converting the mixed fraction into improper fraction we get,

= (61/4) x 9 ==> 137.25 square inches

**Example 4 :**

A triangular plot of land has the dimensions shown in the diagram. What is the area of the land?

**Solution :**

base of the triangle = 30 km

height of the triangle = 20 km

Area of the triangle = (1/2) x 30 x 20

= 15 x 20 = 300 km²

**Example 5 :**

A triangular plot of land has the dimensions shown in the diagram. What is the area of the land?

**Solution :**

base of the triangular land = 32 ft

height of the triangular land = 18 ft

Area of the land = (1/2) x 32 x 18

= 16 x 18 = 288 square ft

**Example 6 :**

A right triangle has legs that are 11 in. and 13 in. long. What is the area of the triangle?

**Solution :**

base = 11 inches and height = 13 inches

Area of the the right triangle = (1/2) x 11 x 13

= 143/2 = 71.5 square inches

- Area and polygons
- Inverse operations
- Area of square and rectangles
- Area of quadrilaterals
- Area of a parallelogram
- Finding the area of a trapezoid
- Finding the area of a rhombus
- Area of triangles
- Finding the area of a triangle
- Problems using area of a triangles
- Solving area equations
- Writing equations using the area of a trapezoid
- Solving multistep problems
- Area of polygons
- Finding areas of polygons
- Real world problems involving area and perimeter of polygon

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