Question

Question included in picture

Answer 1

• 
  `20√(3)` units²

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Given

• Three sides of the triangle, 7, 10 and 13 units.

To find

• Area of the triangle

Solution

Use Heron's formula:

• 
  `A = √(s(s-a)(s-b)(s-c))`, where s is semi-perimeter
  `s=(a+b+c)/2`

Find the value of s:

• s = (7 + 10 + 13)/2 = 30/2 = 15

Substitute and calculate the area:

• 
  `A = √(15(15-7)(15-10)(15-13)) = √(15*8*5*2) =√(1200) =20√(3)`