Answer
The length of equal legs of the isosceles triangle is 14.14 centimeter.
Work Step by Step
We will use Pythagoras theorem to find out the length of each leg.
By Pythagoras theorem,
$P^2+B^2=H^2$
Where,
P= Perpendicular
B= Base
H= Hypotenuse
Here $P=B=x$ and $H=20$
Step-1: Substituting in the formula,
$x^2+x^2=20^2$
$2x^2=400$
Step 2: Dividing both sides by 20
$x^2=\frac{400}{2}$
$x^2=200$
Step-3: Using the square root property
$x=±\sqrt200$
$x=±14.1421$
Since the leg of isosceles triangle cannot be negative, the length is approximately 14.14 centimeters.