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

is there a picture

step-by-step explanation:

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0