Respuesta :
Answer: [tex]10\sqrt{2}units[/tex]
Step-by-step explanation:
You must apply the Pytagorean theorem, which is shown below:
[tex]a^2=b^2+c^2[/tex]
Where:
a is the hypotenuse and b and c are the legs of the triangle.
Then, if you know the lenght of the legs of the triangle, you can solve for the hypotenuse.
Therefore, keeping the above on mind, you obtain the following result:
[tex]a=\sqrt{b^2+c^2}[/tex]
[tex]a=\sqrt{(10units)^2+(10units)^2}\\a=10\sqrt{2}units[/tex]
The length of the hypotenuse of the triangle is 10√2 units
The triangle is a right angle triangle.
Right angle triangle
Right angle triangles are triangle that has one of its angles as 90 degrees.
Using Pythagoras theorem, we can find the length of the hypotenuse with the length of the two legs.
Therefore,
- c² = a² + b²
c² = 10² + 10²
c² = 100 + 100
c = √200
c = 10√2
learn more on right angle triangle here: https://brainly.com/question/2796771?referrer=searchResults