What is the length of the hypotenuse of an isosceles right triangle (both legs congruent), if the leg is 8?

8 sqrt 2

Step-by-step explanation:

An isosceles right triangle is also known as a 45-45-90 triangle. In a 45-45-90 triangle, both the legs are equal, and the hypotenuse is the leg of the triangle multiplied by the square root of 2.

Another way to solve this is to us the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, a^2 + b^2 = c^2, with c being the hypotenuse. Since a and b are both equal to 8, 8^2 + 8^2 = c^2. This simplifies to 128 = c^2. By taking the square root of both sides, you get sqrt 128 = c. This simplifies to c = 8 sqrt 2

B

Step-by-step explanation:

Take 2 points and use the slope formula

The 2 points: (0,0) and (5,4)

The slope formula is:

We can say (0,0) is our first point, and (5,4) is our second, and substitute them in. y2 is 4, y1 is 0, x2 is 5, and x2 is 0.

So, the slope if 4/5, or choice B