Which of the images above represent a proof of the Pythagorean Theorem? Explain your choice, and then explain how the figure proves the Pythagorean Theorem.
Images are in the comments >links<
Figure B proves the Pythagorean Theorem.
As you may have noticed, the lengths given for both figures are already perfect squares. All you have to do is add the lengths of the legs to see if they equal the length of the hypotenuse/diagonal.
Figure A: 9 + 36 = 46... not 64
Figure B: 25 + 144 = 169... correct
Figure B proves the Pythagorean Theorem.
Pythagorean Theorem Formula: a^2 + b^2 = c^2
(The numbers are already squared, so just plug them in for a, b, and c, and see if it is a true statement.)
Hope this helps and I hope it made sense.
It will not let me send the links but here's the data of the Triangles
Figure A:
Leg a= 9 units (length)
Leg b= 36 units (bottom)
Leg c= 64 units (diagonal length)
Figure B:
Leg a= 25 units (length)
Leg b= 144 units (bottom)
Leg c= 169 units (diagonal length)
I'm not very sure if those are the measurements of the legs/hypo in the picture the measurements are inside of squares like volume/area and they are forming a triangle.I know how to do P.T but I'm not sure if those are the measurements for the triangles. Help me, please.