The graph shows a triangle with squares that correspond to each side.
Drag the movable points to create new triangles.
Is the equation triangle? a ^ 2 + b ^ 2 = c ^ 2 true for every
Yes
No
a ^ 2 = 58
b ^ 2 = 65
c^2 = 49
Explain your thinking.
Yes, the equation for a right triangle, a^2 + b^2 = c^2 is true for every triangle. This is known as the Pythagorean theorem and it holds true for all right-angled triangles.
In the given example, a^2 = 58, b^2 = 65, and c^2 = 49, we can see that a^2 + b^2 is equal to c^2 (58 + 65 = 123, while 49). This confirms that the Pythagorean theorem holds true for this example as well.