Respuesta :

Answer:

To find the length of the hypotenuse of a right triangle when given the lengths of the base and height, you can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

So, if the base (b) is 3 cm and the height (h) is 4 cm, we can use the Pythagorean theorem:

Hypotenuse{Square}=Base{Square}+Height{Square}

Hypotenuse{Square}=3{Square}+4{Square}

Hypotenuse {Square} =3{Square} +4{Square}

Hypotenuse{Square}=9+16

Hypotenuse{Square}=25

Now, we take the square root of both sides to find the length of the hypotenuse:

Hypotenuse=25

​Hypotenuse= 5

So, the length of the hypotenuse of the right triangle is 5 cm.

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