Question

select the statement that is the contrapositive of the following statement: if a triangle is a right triangle, then its side lengths satisfy the equation a² + b² = c². answer attempt 1 out of 2 if a triangle is a right triangle, then its side lengths dont satisfy the equation a² + b² = c². if the side lengths of a triangle satisfy the equation a² + b² = c², then it is a right triangle. if a triangle isnt a right triangle, then its side lengths dont satisfy the equation a² + b² = c². if the side lengths of a triangle dont satisfy the equation a² + b² = c², then it isnt a right triangle.

Explanation:

The contrapositive of a conditional statement "If p, then q" is "If not q, then not p". Here, p is "a triangle is a right - triangle" and q is "its side lengths satisfy the equation \(a^{2}+b^{2}=c^{2}\)". So the contrapositive is "If the side lengths of a triangle don't satisfy the equation \(a^{2}+b^{2}=c^{2}\), then it isn't a right - triangle".

Answer:

If the side lengths of a triangle don't satisfy the equation \(a^{2}+b^{2}=c^{2}\), then it isn't a right triangle.