MATH SOLVE

3 months ago

Q:
# Use the converse of the Pythagorean theorem to determine if the three given side lengths form a right triangle. 7 cm, 12 cm, 14 cm

Accepted Solution

A:

The Pythagorean Theorem states right triangles produce the following relationship between the sides of the triangle: a² + b² = c² where a and b represent the legs of the right triangle and c represents the hypotenuse of the right triangle...

The converse of the theorem states that if the relationship of the sides is true, then you must have a right triangle..

Lets's substitute the side lengths into the theorem and see if we have a right triangle:

7² + 12² = 14² or 49 + 144 = 196

193 ≠ 196 and therefore the three sides given do not represent the sides of a right triangle.

The converse of the theorem states that if the relationship of the sides is true, then you must have a right triangle..

Lets's substitute the side lengths into the theorem and see if we have a right triangle:

7² + 12² = 14² or 49 + 144 = 196

193 ≠ 196 and therefore the three sides given do not represent the sides of a right triangle.