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 the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers
You Might be Interested in
At a carnival, Brian bought 9 packs of 16 tickets each. He uses 39 tickets so far. how many tickets does he have left
Answers (1)
What is the unite rate of 7 errors in 60 minutes
Answers (1)
The expression c (16x+14) is equivalent to 32x+d. What are the values of c and d?
Answers (1)
Which measure is equal to 850 grams? A. 0.85 kg B 8.5 kg C 85. kg D 8,500 kg
Answers (2)
The distance between two cities on a map is measured to be 4 inches. the actual distance between the cities is 448 miles. what is the scale of the map?
Answers (1)
New Questions in Mathematics
Each brick is 13 inches long, 5 inches wide, and 4 inches tall. of they used 11,700in3 of concrete how many Bricks did they make.
Answers (1)
A proportion is shown. 14/21 = x/24 What is the value of x?
Answers (1)
What is (18-6) times 8 plus 6
Answers (1)
How do you change an improper fraction to a mixed number?
Answers (1)
32.587 round to nearest tenth
Answers (2)