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

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:

That means the side lengths are 6.7cm and 2 x 6.7 cm = 13.4cm.

15, 3 and 6

Step-by-step explanation:

Since the triangle is right use Pythagoras' identity to solve.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

let one leg be x then the other leg is 2x, then

x² + (2x)² = 15², that is

x² + 4x² = 225

5x² = 225 ( divide both sides by 5 )

x² = 45 ( take the square root of both sides )

x = = = 3

The other leg is 2 × 3 = 6

the answer will be the last one