Respuesta :

Pythagorean Theorem: a^2 + b^2 = c^2, where c is the hypotenuse.

If x is the hypotenuse, you'd set it up like this:

12^2 + 35^2 = x^2
144 + 1225 = x^2
1369 = x^2
37 = x

The length of the hypotenuse is 37.

Hope this helps.

The length of the hypotenuse of the right-angle triangle will be 37 units.

What is a right-angle triangle?

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

The length of the hypotenuse is x.

And the other two legs of the triangle will be 12 and 35.

Then the length of the hypotenuse will be

x² = 12² + 35²

x² = 144 + 1225

x² = 1369

x = √1369

x = 37

Thus, the length of the hypotenuse of the right-angle triangle will be 37 units.

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

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