Question

If the base and height of a triangle are
both doubled, then the area will be
the original triangle.​

Answer 1

Step-by-step explanation:

Let, the base and height of triangle =b and h

And area of triangle=A

Now, A= 1/2 b ×h

If the sides of a triangle are doubled, then

Base =2.b

Height =2h

Then A = 1/2 × ( 2b ×2h )

= 1/2 × 4bh

= 4 × (1/2 b × h)

And this 1/2 b × h is the formula for the area of the triangle so that means we can say that it is 4 × Area of a triangle... that means area of the triangle has increased 4 times.

so therefore If the sides of a triangle are doubled, then area is is 4 times