Question

I need answer quickly

Answer 1

Answer:

√85

Step-by-step explanation:

a² + b² = c²

6² + b² = 11²

36 + b² = 121

b² = 121 - 36

b² = 85

b = √85

Answer 2

Answer:

Hello! The answer is $b = \sqrt{85}$.

Step-by-step explanation:

To solve this question, we have to use the Pythagorean theorem. We are given one of the legs and the hypotenuse. (The hypotenuse is opposite the right angle).

a^2 and b^2 represent our legs while c^2 represents the hypotenuse.

We have to substitute our values in for a^2 and c^2:

6^2 + b^2 = 11^2

This leaves us with 36 + b^2 = 121

To get b^2 by itself, we have to subtract 36 from both sides:

36 + b^2 = 121

-36             -36

This leaves us with b^2 = 85

To get just b, we have to take the square root:

√b^2 = √85

This leaves us with $b = \sqrt{85}$.