Calculating the area of a triangle is an elementary problem encountered often in many different situations. The best known and simplest formula is:

Area = ½ bh

where *b* is the length of the base of the triangle, and *h* is the height or altitude of the triangle. The term 'base' denotes any side, and 'height' denotes the length of a
perpendicular from the point opposite the side onto the side itself.

Source - Wikipedia

The diagrammatic representation showing base and height of triangle is shown below:

**Example problems:**

1) Given the area of the triangle is 206 m^{2} and the height is 17 m. Find the base of the triangle.

** Solution:**

Area A = 206 m^{2}

Height h = 17m^{2}

Area of triangle A = ½ bh

b = 2A / h

= 2(206) / 17

= 412/17

b = 24.24 m

2) The area of the triangle is 312 m^{2} and the height is 19 m. Find the base of the triangle.

**Solution:**

Area A = 312 m^{2}

Height h = 19 m^{2}

Area of triangle A = ½ bh

b = 2A / h

= 2(312) / 19

= 624/19

b = 32.8 m

3) Given the area of the triangle is 206 m^{2} and the height is 17 m. Find the base of the triangle.

**Solution:**

Area A = 206 m^{2}

Height h = 17m^{2}

Area of triangle A = ½ bh

b = 2A / h

= 2(206) / 17

= 412/17

b = 24.24 m

**Example problems:**

1) The area of the triangle is 218 m^{2} and the base is 24 m. Find the height of the triangle.

**Solution:**

Area A = 218 m^{2}

Base b = 24 m

Area of triangle A = ½ bh

h = 2A / b

= 2(218) / 24

= 436/24

h = 18.17 m

2) Given the area of the triangle is 412 m^{2} and the base is 32 m. Find the height of the triangle.

**Solution:**

Area A = 412 m^{2}

Base b = 32 m

Area of triangle A = ½ bh

h = 2A / b

= 2(412) / 32

= 824/32

h = 25.75 m

1) The area of the triangle is 204 m^{2} and the base is 24 m. Find the height of the triangle.

Answer: 17 m

2) The area of the triangle is 42 m^{2} and the height is 7 m. Find the base of the triangle.

Answer: 12 m