Figure A Figure B Which of the triangles in the two figures above is a right triangle? Explain your choice using the Pythagorean Theorem to prove it. Note: the
Question
Figure B
Which of the triangles in the two figures above is a right triangle? Explain your choice using
the Pythagorean Theorem to prove it. Note: the figures are not drawn to seale.
2 Answer

1. User Answers 6108
Answer:
Figure B
Stepbystep explanation:
The Pythagorean Theorem is [tex]a^2 + b^2 = c^2[/tex], where c is the longest side of the triangle (the hypotenuse).
To find the side length of each square, you have to square root the area of each square. This means that Figure A has side lengths of 3, 6 and 8 units. Figure B has side lengths of 5, 12 and 13 units.
In Figure A, if the triangle is rightangled, the equation [tex]3^2 + 6^2 = 8^2[/tex] must be correct. 9 + 36 = 45. 45 is not equal to 64, so the triangle is not rightangled.
In Figure B, if the triangle is rightangled, the equation [tex]5^2 + 12 ^2 = 13^2[/tex] must be correct. 25 + 144 = 169. 169 is 13 squared, so the triangle is rightangled.
Alternatively, as you are already given the square values for each side length, there is no need to square root and square again. You can just test if the two smaller areas equal the larger area, but the explanation above uses a more detailed example of the Pythagorean Theorem.

2. User Answers nathanielbrantley
the answer is b
hope it helps