Question

Percentage increase in area of triangle if each side is halved

Answer 1

Answer:

Step-by-step explanation:

CONSIDER THAT THE TRIANGLE IS EQUILATERAL

LET EACH  SIDE BE X

AREA = $\frac{\sqrt{3}}{4} *X^{2}$

AFTER HALFING

AREA=$\frac{\sqrt{3} }{4} *(\frac{X}{2} )^{2}$

= $\frac{\sqrt{3} }{4} * \frac{X^{2} }{4}$

RATIO=$\frac{\sqrt{3}}{4} *X^{2}$

            ----------

            $\frac{\sqrt{3} }{4} * \frac{X^{2} }{4}$

= $\frac{x^{2} }{\frac{x^{2} }{4} }$

=$\frac{4*x^{2} }{x^{2} }$

=4:1