I am assuming that 4, 7 , and 9 are the length of the
sides of the triangle.
We are given the sides of the
triangle. Then, we will use the following formula.
Area (A)
= sqrt S( S-a) ( S- b) (S-c) such that.
A =
area/
S = perimeter / 2
a, b,
and c are the sides' length.
let us calculate the
perimeter.
We know that the perimeter P = a + b +
c
==> P = 4 + 7 + 9 =
20
==> S = 20/2 =
10
==> A = sqrt 10* ( 10 -4) ( 10 - 7) ( 10
-9)
= sqrt
10*6*3*1
= sqrt(180) = 6sqrt5 square
units.
Then the area of the triangle whose
sides 4, 7, and 9 is 6sqrt5 square units.
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