Question

The base and the height of a triangle are 4cm and 3cm respectively. If the base is increased 3 times then by how many times will its area increase ?​

Answer 1

Answer:

6cm,2

Step-by-step explanation:

Correct option is

A

6 cm

2

The height of the triangle is 4 cm

The base of the triangle is 3 cm

The area of the triangle is

=

2

1

x base x height

=

2

1

×4×3=2×3=6 cm

2

Answer 2

Answer:

area of the triangle having base 4 cm and height 3 cm

=1/2×4×3=6cm²

if the base increased three times then length of the new base=4×3=12cm

therefore increase area of the triangle=1/2×12×3=18cm²

Step-by-step explanation:

area of the original Triangle / increased area of the triangle = 6cm²/18cm²

=1/3cm²

therefore increase area of the triangle =3× area of the original Triangle

i.e, keeping the height fixed if we increase the base 3 times then area of the triangle also increases 3 times