Question

Example 18 If each side of a triangle is doubled, then find the percentage increase in the
area of the triangle.​

Answer 1

Answer:

Let's consider an equilateral triangle of side X cm

Area

= 1/2 *X * X

= 0.5 X^2

If the sides are doubled, I. E. 2X per side

Area

= 1/2 *2X * 2X

=2X^2

RATIO OF THE SMALL TRIANGLE TO THE BIG TRIANGLE WILL BE :-

0.5 X^2 : 2X^2

= 0.5 : 2

= 1/2 : 2

= 4:1

Percentage increase in area of the triangle is 300%

Answer 2

Answer: 60%

Step-by-step explanation:

ok i’m not smart but what I think is 3 sides * 2 each so 2 and then move the decimal 20% then multiply by three so 60%(this is probably wrong so sorry dude)