Question

If the height of a triangle is doubled and the base is tripled then its area becomes ____ times ...

Answer 1

If the height of a triangle is doubled and the base is tripled then the area of triangle becomes "6 times".

Step-by-step explanation:

Let the height of a triangle = h and

the base of a triangle = b

∴ The area of a triangle = $\dfrac{1}{2}bh$        ....... (1)

The new height of a triangle = 2h and

the new base of a triangle = 3b

The area of a new triangle $=\dfrac{1}{2} (2h)(3b)$

$=6(\dfrac{1}{2} hb)$

Using equation (1), we get

= 6 × The area of a triangle

Thus, the area of triangle becomes "6 times".

Answer 2

Answer:

6 times

Step-by-step explanation:

As 2 into 3 is 6....