Question

Using Heron’s formula, calculate the area of the parallelogram to the nearest tenth of a square unit. Area ≈ square units

Answer 1

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

Answer 2

Answer:

36.7

Step-by-step explanation:

On edg.