Question

I need help please and thank you

Answer 1

11.2

Explanation:

The Pythagorean theorem means that in a right triangle the hypotenuse (the longest side, opposite the right angle) squared equals the sum of the squares of the other two sides.

Therefore

`15^(2) -10^2=b^2`

or

`225-100=b^2=125`

Now, all you have to do is find the square root of 125

`\sqrt[2]{125} = 11.2`

Answer 2

Pythagorean Theorem Formula: a^2 + b^2 = c^2

We are solving for b of the triangle.

Steps to solve:

10^2 + b^2 = 15^2

~Solve for the exponents

100 + b^2 = 225

~Subtract 100 to both sides

100 - 100 + b^2 = 225 - 100

~Simplify

b^2 = 125

~Take the square root of both sides

√b^2 = √125

~Simplify

b = 11.1803398875

~Round to the nearest tenth

11.1803398875 → 11.2

Hence, the length of "b" is 11.2

Best of Luck!