Question

ASAP: Analyze the diagram below and complete the instructions that follow. Find the area of angle DFG. Round the the nearest tenth.

Answer 1

B. 34.3 units

Explanation:

We can see that the missing side is is the hypotenuse of the ΔDEF

So, Using the pythagoras theorem

H^2 = P^2 + B^2

= (8)^2 + (6)^2

= 64 + 36

= 100

√H^2 = √100

H = 10

Now we know all the three sides of triangle ΔDFG

We can use Hero's formula to find the area

`s = ((d+f+g))/(2)\\ = ((7+11+10))/(2)\\ = (28)/(2)\\ = 14\\Area = √(s(s-d)(s-f)(s-g)) \\= √(14(14-7)(14-11)(14-10)) \\=√((14)(7)(3)(4))\\ =√(1176)\\ = 34.29\ units`

Rounding off will give us:

34.3 units

Hence Option B is correct ..