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Heron’s formula: Area = square root 5(5-a)(5-b)(5-c) What is the area of triangle DFG? Round to the nearest whole square unit. 27 square units 38 square units 364 square units 728 square units

Respuesta :

MrEquation
To do this problem, you will need to know the side lengths of the triangle. If you have those, just plug them in for a, b, and c and evaluate the square root.

Here is an example. If the sides are 3, 4, 5.
It would be:

[tex]A= \sqrt{6(6-3)(6-4)(6-5))} [/tex]

The 6 is in the formula because it is the semi-perimeter (half).
TheSandman1337
The formula of Heron is given by:
[tex]\sqrt{S(s-a)(s-b)(s-c)} [/tex]=A where s is given by (a+b+c)/2 and A is the area. Here, we have a=11, b=9, c=6. Hence, s=13. Substituting, we get that
A=[tex] \sqrt{13*7*4*2}[/tex]. Thus A^2=728 and A=26.98. This yields that A=27 given the exercise options.

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