Question

if the site of a triangle are doubled the area ​

Answer 1

Answer:

Becomes four times

Step-by-step explanation:

Using Heron's formula i.e.

A=

s(s−a)(s−b)(s−c)

where,

s=

2

a+b+c

Let, a

1

=2a,b

1

=2b,c

1

=2c

⇒s

1

=2s

∴A

1

=

2s(2s−2a)(2s−2b)(2s−2c)

taking 2 as common

∴A

1

=

16s(s−a)(s−b)(s−c)

∴A

1

=4A

Answer 2

Answer:

Using Heron's formula i.e.

A=

s(s−a)(s−b)(s−c)

where,

s=

2

a+b+c

Let, a

1

=2a,b

1

=2b,c

1

=2c

⇒s

1

=2s

∴A

1

=

2s(2s−2a)(2s−2b)(2s−2c)

taking 2 as common

∴A

1

=

16s(s−a)(s−b)(s−c)

∴A

1

=4A

Step-by-step explanation:

I hope this answers will be helpful