Question

PLZ ANSWER ASAP THX


Find area

Answer 1

Area of triangle , when 3 sides are given , we may use "Heron's formula"

`\bold{heron \: formula \: = \: √(s(s - a)(s - b)(s - c)square \: units) } \\ \\ where \: \bold{s }= (a + b + c)/(2)`

Given :

a=7

b=8

c=10

So , semi peremeter =

`s = (7 + 8 + 10)/(2)`

`s = (25)/(2)`

`s = 12.5`

`area = √(12.5(12.5 - 7)(12.5 - 8)(12.5 - 10))`

`area = √(12.5(5.5)(4.5)(2.5))`

`area = √(68.5 * 11.25)`

`area = √(770.625)`

`area \: = 27.7601 {units}^(2)`