397,731 views
12 votes
12 votes
Does pythagorean theorem work on non right triangles

User FogleBird
by
2.8k points

2 Answers

27 votes
27 votes

Final answer:

Yes, the Pythagorean theorem can be used on non-right triangles by extending one side to create a right triangle.

Step-by-step explanation:

Yes, the Pythagorean theorem can be used on non-right triangles. The Pythagorean theorem states that in a right triangle, the sum of the squares of the lengths of the two legs is equal to the square of the length of the hypotenuse (a² + b² = c²). However, it can also be applied to non-right triangles by extending one side to create a right triangle and then using the theorem.

For example, consider a triangle with side lengths of 3, 4, and 5. This is a right triangle, and the theorem can be used to calculate the missing side length. Now imagine another triangle with side lengths of 6, 8, and a missing side length. By extending one side to form a right triangle, we can use the theorem to find the missing side length.

User Emning
by
2.4k points
9 votes
9 votes

Answer:

No

Step-by-step explanation:

One angle must be 90 degrees

User Tamas Kalman
by
2.5k points