Answer:
What information relevant to calculating area do we have available for this triangle?
✔ SSS
Which method should we use to calculate the area for this triangle?
✔ Heron's formula
What is the area of this triangle calculated to the nearest hundredth of a square unit?
✔ 34.98 square units
Step-by-step explanation:
The area of the triangle is 34.98 square units, and the appropriate method to use is the Heron's formula
The given parameters are given as:
EF = 10
DF = 7
DE = 12
Given that all three sides of the triangles are given, then the relevant information needed is the length of the three sides
When the three sides are known, then the appropriate method to calculate the area is the Heron's formula
Start by calculating s using:
[tex]s = 0.5 * (a + b + c)[/tex]
So, we have:
[tex]s = 0.5 * (10 + 7 + 12)[/tex]
[tex]s = 14.5[/tex]
The area is then calculated as:
[tex]Area =\sqrt{s * (s - a) * (s - b) * (s -c)[/tex]
So, we have:
[tex]Area =\sqrt{14.5 * (14.5 - 10) * (14.5 - 7) * (14.5 -12)[/tex]
[tex]Area =34.98[/tex]
Hence, the area of the triangle is 34.98 square units
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