Question

What is the length of the hypotenuse, x, if (20,21,x) is a Pythagorean triple?

Answer 1

29

Explanation:

`(20,21,x) \\Pythagoras -Theorem =\\a^2+b^2 = c^2\\\\20^2 + 21^2 = x^2\\400 + 441 = x^2\\841 = x^2\\Square -root-both-sides\\√(841) = √(x^2) \\29 = x\\\\x = 29`

Answer 2

B. 29

Explanation:

Use Pythagoras theorem.

a² + b² = c²

x is the hypotenuse.

20² + 21² = x²

400 + 441 = x²

841 = x²

√841 = √(x²)

29 = x