Question

The height of a triangle is 2 less than 3 times its base. If the area of the triangle is 48cm², determine
the base and height of the triangle.

Answer 1

Answer:

The base is 12cm and the height is 8cm

Step-by-step explanation:

Answer 2

Answer:

Let the length of the base is

x

,so height will be

x

−

8

so,area of the triangle is

1

2

x

(

x

−

8

)

=

24

or,

x

2

−

8

x

−

48

=

0

or,

x

2

−

12

x

+

4

x

−

48

=

0

or,

x

(

x

−

12

)

+

4

(

x

−

12

)

=

0

or,

(

x

−

12

)

(

x

+

4

)

=

0