The length of the hypotenuse (x) is an irrational number between 6 and 8. Both legs have measures that are whole numbers. Illustrate a model for at least one possible set of measures for the sides of the right triangle. This problem requires you to show your work and explain your reasoning. You must include a drawing, as well as words and/or numbers in your answer. Your answer should be written so that another person could read it and understand your thinking.

Be sure to ─
Answer the question prompt
Use a diagram or picture to explain the mathematical work
Provide justification statements that are mathematically correct
Use appropriate academic vocabulary

i do not know this sorry : (

a; x = 0.5

step-by-step explanation:

-10x = -5

x = 0.5

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240