Question

select whether the conjecture is true or false. if in △abc, (ab)^2 + (bc)^2 = (ac)^2, then △abc is a right triangle

Explanation:

Step1: Recall Pythagorean theorem

The Pythagorean theorem states that in a right - triangle, the sum of the squares of the two legs is equal to the square of the hypotenuse. Its converse also holds. That is, if in a triangle $\triangle ABC$, $(AB)^{2}+(BC)^{2}=(AC)^{2}$, then $\triangle ABC$ is a right - triangle with the right angle opposite the side $AC$.

Answer:

True