In a right triangle, if one leg measures 3 units and the other leg measures 4 units, what is the length of the hypotenuse?

Question

UpStudy AI · Accepted Answer

To find the length of the hypotenuse in a right triangle, you can use the Pythagorean theorem, which states:

$$
c^2 = a^2 + b^2
$$

where $$c$$ is the length of the hypotenuse, and $$a$$ and $$b$$ are the lengths of the other two legs.

In this case, the lengths of the legs are 3 units and 4 units. Plugging these values into the formula gives:

$$
c^2 = 3^2 + 4^2
$$

Calculating the squares:

$$
c^2 = 9 + 16
$$

Adding these together:

$$
c^2 = 25
$$

Now, take the square root of both sides to find $$c$$:

$$
c = \sqrt{25} = 5
$$

Thus, the length of the hypotenuse is $$5$$ units.
The length of the hypotenuse is 5 units.

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