Let x------------> <span>The length of one leg </span>y------------> <span>The length of second leg </span> we know that H=50 cm x=2y <span>applying the Pythagorean theorem
H</span>²=x²+y²--------> 50²=(2y)²+y²---------> 2500=4y²+y²-----> y²=2500/5 y=√500--------> y=22.4 cm <span>so </span>x=2y--------> x=2*22.4--------> x=44.8 cm <span> the answer is </span><span>the lengths of the legs of the triangle are </span>44.8 cm and 22.4 cm