# How do you use Heron's formula to determine the area of a triangle with sides of that are 7, 15, and 10 units in length?

##### 1 Answer

Mar 20, 2016

≈ 29.394 square units

#### Explanation:

This is a 2 step process.

step 1 : calculate half the perimeter (s) of the triangle

let a = 7 , b = 15 and c = 10

# s = (a+b+c)/2 = (7+15+10)/2 = 16 # step 2 : calculate the area using

area

# = sqrt(s(s-a)(s-b)(s-c) #

# = sqrt(16(16-7)(16-15)(16-10)) #

# = sqrt(16xx9xx1xx6) ≈ 29.394 " square units " #