Using Heron’s formula, calculate the area of the parallelogram to the nearest tenth of a square unit. Area ≈ square units
Answers
Answered by
9
Explanation:
Heron's formula is
A
=
√
s
(
s
−
a
)
(
s
−
b
)
(
s
−
c
)
, where
A
is the area,
s
is the semi-perimeter, and
a
,
b
,
and
c
are the sides of the triangle.
The semi-perimeter is half the perimeter, with the formula
s
=
a
+
b
+
c
2
.
Let
a
=
3
b
=
7
c
=
7
Solution
Determine semi-perimeter, then substitute known values into Heron's formula and solve.
s
=
3
+
7
+
7
2
s
=
17
2
s
=
8.5
A
=
√
8.5
(
8.5
−
3
)
(
8.5
−
7
)
(
8.5
−
7
)
A
=
√
8.5
(
5.5
)
(
1.5
)
(
1.5
)
A
=
√
101.1875
A
=
10.3
square units rounded to one decimal place
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Answered by
13
Answer:
36.7
Step-by-step explanation:
On edg.
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