Tell whether the triangle with the given side is a right triangle;14mm, 19mm, 23mm
Explain please.
Use the Pythagorean theorem that only works for right triangles.
http://www.mathsisfun.com/pythagoras.html
To determine if a triangle is a right triangle, we need to use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
In this case, we have a triangle with side lengths of 14mm, 19mm, and 23mm. To check if it's a right triangle, we need to calculate:
- Square the length of the longest side (the hypotenuse):
23^2 = 529
- Square the lengths of the other two sides:
14^2 = 196
19^2 = 361
- Add the squares of the other two sides:
196 + 361 = 557
If the sum of the squares of the two shorter sides is equal to the square of the longest side, then the triangle is a right triangle. Otherwise, it is not.
In this case, we see that 557 is not equal to 529. Therefore, the triangle with side lengths of 14mm, 19mm, and 23mm is not a right triangle.