Please explain to me how to do this question with right answer

Step-by-step explanation:

The Pythagorean Theorem is:

where a and b are the legs and c is the hypotenuse.

In this triangle, 6 and b are the legs, because they form the right angle.

10 is the hypotenuse, because it is opposite the right angle. Plus, it's the longest side.

Substitute the values into the Theorem.

Evaluate the exponents.

Subtract 36 from both sides of the equation to isolate the variable (b).

b is being squared. The inverse of a square is a square root. Take the square root of both sides of the equation.

In this triangle, b (the other leg) is equal to 8

graph b

step-by-step explanation:

one solution- graph a (clear intercepting point.)

no solution- graph b (they're parallel, there will never be a point of interception.)

infinite solutions- graph c (all points intercept.)