Using the dot product, prove the converse of the Pythagorean theorem. That is, show that if the

Name: Using the dot product, prove the converse of the Pythagorean theorem. That is, show that if the lengths of the sides of a triangle satisfy a^2+b^2=c^2, then the triangle is a right triangle.
Uploaded: 2021-07-11T16:27:01-08:00
Duration: 3 min 3 s
Channel: Nick Johnson
Description: Using the dot product, prove the converse of the Pythagorean theorem. That is, show that if the lengths of the sides of a triangle satisfy a^2+b^2=c^2, then the triangle is a right triangle.

Question

Nick Johnson · Accepted Answer

Step 1: Assume that in triangle ABC, $a^{2} + b^{2} = c^{2}$ but the triangle is not a right tri

Question

Using the dot product, prove the converse of the Pythagorean theorem. That is, show that if the lengths of the sides of a triangle satisfy $a^{2}+b^{2}=c^{2},$ then the triangle is a right triangle.

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