I do not know if this is necessarily right but the equation I got was:
[tex](2x)^{2}[/tex] + [tex]x^{2}[/tex] = [tex]h^{2}[/tex]
And if I were to simplify:
[tex]4x^{2}[/tex] + [tex]x^{2}[/tex] = [tex]h^{2}[/tex]
[tex]5x^{2}[/tex] = [tex]h^{2}[/tex]
[tex]\sqrt5x ^{2}[/tex] = h
h = x[tex]\sqrt{5}[/tex]
The length of the hypotenuse of a right triangle is √5x units.
Given that, one leg of a right triangle is twice as long as the other.
We need to write the length of the hypotenuse.
The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.
Let the length of the leg of a right triangle be x, and then the length of another leg of a right triangle will be 2x.
Take the length of the hypotenuse as y.
Now, y²=x²+(2x)²
⇒y²=x²+4x²
⇒y²=5x²
⇒y=√5x units
Therefore, the length of the hypotenuse of a right triangle is √5x units.
To learn more about the Pythagoras theorem visit:
https://brainly.com/question/343682.
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