2 Answers

Xerath · Answer 1 · 2020-03-18T20:10:34+0000

Answer:

$A=2√(14)\ units^2$

Explanation:

we know that

Heron's Formula is a method for calculating the area of a triangle when you know the lengths of all three sides.

so

A=√(s(s-a)(s-b)(s-c))

where

a, b and c are the length sides of triangle

s is the semi-perimeter of triangle

we have

$a=5\ units,b=6\ units,c=3\ units$

Find the semi-perimeter s

s=
$(5+6+3)/(2)=7\ units$

Find the area of triangle

A=√(7(7-5)(7-6)(7-3))

A=√(7(2)(1)(4))

$A=√(56)\ units^2$

simplify

$A=2√(14)\ units^2$

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