93.4k views
3 votes
What is the area of DEF? D to F is 7.65, d to e is 2.12 and e to f is 6

1 Answer

4 votes
To find the area of triangle DEF, we can use Heron's formula, which states that the area of a triangle with sides of lengths a, b, and c is:

A = sqrt(s(s-a)(s-b)(s-c))

where s is the semiperimeter of the triangle, defined as:

s = (a + b + c)/2

In this case, we have:

a = DE = 2.12
b = EF = 6
c = DF = 7.65

The semiperimeter is:

s = (a + b + c)/2 = (2.12 + 6 + 7.65)/2 = 7.885

Therefore, the area of triangle DEF is:

A = sqrt(s(s-a)(s-b)(s-c)) = sqrt(7.885(7.885-2.12)(7.885-6)(7.885-7.65)) = 9.63

The area of triangle DEF is approximately 9.63 square units.
User Liona
by
7.4k points

No related questions found