Question

What is the area of triangle DFG around to the nearest whole square unit

Answer 1

A

Step-by-step explanation:

Answer 2

I added a screenshot of the diagram

Answer:
area = 26.98 which is approximately 27 square units

Step-by-step explanation:
To get the area of a triangle using three sides, we use Heron's formula which is:
area =
`√(p(p-a)(p-b)(p-c))`
where:
p is half the perimeter of the triangle
a, b and c are the three sides of the triangle

1- getting p:
perimeter of the triangle = a + b + c
perimeter of the triangle = 11 + 9 + 6
perimeter of the triangle = 26 units
We know that p is half the perimeter, therefore:
p =
`(92)/(2)` = 13

2- getting the area:
We have:
a = 11
b = 9
c = 6
p = 13
Substitute with these values in Herons's formula to get the area as follows:
area =
`√(p(p-a)(p-b)(p-c))`
area =
`√(13(13-11)(13-9)(13-6))`
area = 26.98 which is approximately 27 square units

Hope this helps :)