Question

Calculate the area of the triangle with the following sides:

29 cm, 20 cm and 21 cm

Answer 1

Given: Sides = 29 cm, 20 cm, 21 cm.

Step-wise calculation:

1. Compute the semi-perimeter: 

`s = (29 + 20 + 21)/2`

= `70/2`

= 35

2. Use Heron’s formula: 

Area = `sqrt(s(s - a)(s - b)(s - c))`

3. Plug in the values:

Area = `sqrt(35(35 - 29)(35 - 20)(35 - 21))`

= `sqrt(35 xx 6 xx 15 xx 14)`

6 × 15 = 90

90 × 14 = 1260

35 × 1260 = 44,100

`sqrt(44,100) = 210`

Area = 210 cm².