Question

The sides of a triangle are 20cm,37cm and 51cm long. Then the area of the triangle is

Answer 1

Answer:

306cm²

Step-by-step explanation:

A=s(s﹣a)(s﹣b)(s﹣c)

s=a+b+c

2

Solving forA

A=1

4﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=1

4·﹣204+2·(20·37)2+2·(20·51)2﹣374+2·(37·51)2﹣514=306cm²

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Answer 2

Triangle

Solve for 

area

A

=

306

cm²

a

Side

cm

b

Base

cm

c

Side

cm

Using the formulas

A

=

s

(

s

﹣

a

)

(

s

﹣

b

)

(

s

﹣

c

)

s

=

a

+

b

+

c

2

Solving for

A

A

=

1

4

﹣

a

4

+

2

(

a

b

)

2

+

2

(

a

c

)

2

﹣

b

4

+

2

(

b

c

)

2

﹣

c

4

=

1

4

·

﹣

20

4

+

2

·

(

20

·

37

)

2

+

2

·

(

20

·

51

)

2

﹣

37

4

+

2

·

(

37

·

51

)

2

﹣

51

4

=

306

cm²