The Pythagorean theorem states that the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse by the formula a2 + b2 = c2. If a is a rational number and b is a rational number, why could c be an irrational number?
The square of rational numbers is irrational, and sum of two irrational numbers is irrational.
The product of two rational numbers is rational, and the sum of two rational numbers is irrational.
The left side of the equation will result in a rational number, which is a perfect square.
The left side of the equation will result in a rational number, which could be a non-perfect square.
Answers (1)
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “The Pythagorean theorem states that the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse by the ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers
You Might be Interested in
A rectangular bedroom has a perimeter of 42 feet. if the length of the bedroom is 11 feet, what is the width of the bedroom?
Answers (1)
What is the sum of the angles of an octagon?
Answers (1)
Given that M angle KLH equals 120° which statement about the figure must be true?
Answers (1)
A simple index of three stocks opens the day with these values: The index rises 3.4% over the course of the day. What is the value of the index at the end of the day? Round your answer to the nearest hundred.
Answers (1)
How can i solve u=x-k for x and g=c+x for x
Answers (1)
New Questions in Mathematics
Which is a reasonable first step that can be used to solve the equation 2 (x + 6) = 3 (x minus 4) + 5? Combine like terms, 3 and 5, on the right side of the equation. Distribute 2 to (x + 6) and 3 to (x - 4).
Answers (1)
A biologist took a count of the number of fish in a particular lake, and recounted the lake's population of fish on each of the next six weeks. Find a quadratic function that models the data as a function of x, the number of weeks.
Answers (1)
Are 9 (4-x) and 36+9x equivalent expressions
Answers (2)
What is the inverse of f (x) = 6x - 24
Answers (1)
Ho do I make 96/3 in simplest form what my answer
Answers (1)