Question

I need the answer please. solve for b

Answer 1

The Pythagorean Theorem

The Pythagorean theorem is
`a^2+b^2=c^2`, where a and b are two legs of a right triangle and c is the hypotenuse (the longest side).

Solving the Question

We're given a triangle with the following:

• One of the legs measure 2 units
• The other leg measures b units
• The hypotenuse is 6 units long

We can plug these values into the Pythagorean theorem as a, b and c:

`a^2+b^2=c^2\\2^2+b^2=6^2`

Now, isolate b:

`b^2=6^2-2^2\\b=√(6^2-2^2)\\b=√(36-4)\\b=√(32)`

Answer

`b=√(32)`