Question

A triangle with sides lengths 7, 9 and 11 is a right triangle. true or false

Answer 1

Answer is False.

You can check by doing a^2 + b^2 = C^2

(7)^2 + (9)^2 = (11)^2

49 + 81 = 121

130 = 121

This is not a true statement, which makes it false. This is a triangle, but not a right one.

Answer 2

You can check whether this is true using Pythagoras' Theorem. The Pythagorean Theorem:

a² + b² = c², where c is the hypotenuse of a right triangle.

Let's plug in the given values and check the validity of the statement.

a² + b² = c²

7² + 9² = 11²

49 + 81 = 121

130 = 121

This is false. Thus,

Answer:

False - a triangle with side lengths 7, 9, and 11 is not a right triangle.