# How do you use Heron's formula to determine the area of a triangle with sides of that are 6, 5, and 8 units in length?

##### 1 Answer

Apr 18, 2016

≈ 14.98 square units

#### Explanation:

This is a 2 step process.

Step 1

Calculate half the perimeter (s) of the triangle.

#color(red)(|bar(ul(color(white)(a/a)color(black)( s = (a+b+c)/2 )color(white)(a/a)|)))# let a = 6 , b = 5 and c = 8

#rArr s = (6+5+8)/2 = 19/2 = 9.5 #

Step 2Calculate the area (A) using

#color(blue)(|bar(ul(color(white)(a/a)color(black)( A = sqrt(s(s-a)(s-b)(s-c)))color(white)(a/a)|)))#

#rArr A = sqrt(9.5(9.5-6)(9.5-5)(9.5-8))#

# = sqrt(9.5xx3.5xx4.5xx1.5) ≈ 14.98" square units " #