The hypotenuse of a right triangle is 15cm long. One of the triangle’s legs is two times the length of the other leg. Find the lengths of the three sides of the triangle

Answer:6.7cm, 13.4cm, 15cm.Step-by-step explanation:Let x be one side of the triangle. The question tells us the other side is 2x.We can relate all 3 sides using the Pythagorean Theorem:[tex]15^2=x^2+(2x)^2\\225=x^2+4x^2\\225=5x^2\\x^2=45\\x=6.7[/tex]That means the side lengths are 6.7cm and 2 x 6.7 cm = 13.4cm.