Respuesta :
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.
Answer:
15, 3[tex]\sqrt{5}[/tex] and 6[tex]\sqrt{5}[/tex]
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 = [tex]\sqrt{45}[/tex] = [tex]\sqrt{9(5)}[/tex] = 3[tex]\sqrt{5}[/tex]
The other leg is 2 × 3[tex]\sqrt{5}[/tex] = 6[tex]\sqrt{5}[/tex]
