Question

Find the area of a triangle with legs that are:

15 mm, 10 mm, and 20 mm. a. 20.5 mm²
b. 102.7 mm² c. 72.6 mm² d. 16.4 mm²

Answer 1

Hi,

Answer C: 72.6 mm²

Explanation:

We are going to use Heron's formula:

`half\_perimeter=p=(15+10+20)/(2) =(45)/(2) \\\\Area=√(p*(p-15)(p-10)(p-20))= \sqrt{(45)/(2)*(25)/(2)*(15)/(2)*(5)/(2) } \\\\=(5*15)/(4)√(15) \\\\=(75)/(4)√(15)\\\\ =72.61843...\\\\\approx{72.6}\\\\Answer\ C`