explain herons formula with a example of decimal
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To see Heron's Formula at work, you need a triangle. Construct one by drawing any three intersecting line segments. Each side will be labeled
a
,
b
, and
c
.
The distance completely around the triangle -- its perimeter -- is the sum of
a
+
b
+
c
. The semiperimeter of the triangle is half the perimeter. We will label the semiperimeter
s
.
herons formula example
No need to worry about angles; no need to know the height! Using Heron's Formula, we only need the lengths of the sides.
And now, from across the sands of time, here is Heron's Formula for finding area (
A
) of any triangle if you know the lengths of sides
a
,
b
, and
c
and the semiperimeter
s
:
A
=
√
s
(
s
−
a
)
(
s
−
b
)
(
s
−
c
)
Step-by-step explanation:
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