Answer:
9.562
Step-by-step explanation:
Use the Heron’s Formula to find the area of a triangle when all three sides are known (SSS). In the formulas below, S represents the semi-perimeter of the triangle, and ABC are the three given sides.
You must first know the semi-perimeter (S) before you are able to calculate the area.
S= 1/2 (A+B+C)
Area = √S(S-A)(S-B)(S-C)
In your case:
semi perimeter
= 1/2 (9+4+6)
= 19/2
= 9.5
Area
= √9.5(9.5−9)(9.5−4)(9.5−6)
= √91.4375
= 9.562
