The leg of a right triangle is 5units and the hypotenuse is 8 units. what is the length, in the units, of the other leg of the triangle?

Hello!

To solve this, we will use the Pythagorean Theorem, where the hypotenuse is c, and the legs are a and b.

a²+b²=c²

As we can see, we already know the length of the hypotenuse, so we will switch the formula around to solve for a, the missing leg.

c²=b²=a²

Now we will square our numbers and subtract. Then we will find the square root of our answer to undo the exponent and find a.

64-25=39
√39≈6.24

The length of the other leg of the triangle is about 6.24 unites.

I hope this helps!