Question

The measurements 3, 4, and 5 satisfy the converse of the Pythagorean Theorem and therefore form a right triangle. If each measurement is doubled, will the new triangle still be a right triangle? Write an argument that can be used to defend your solution.

Answer 1

What do you know about similar triangles?

Answer 2

Similar triangles have the same shape but a different size

Answer 3

https://www.mathsisfun.com/geometry/triangles-similar.html

Answer 4

exactly. If you cut each side of a triangle in half, do the angles change?
say you have a 6, 8 ,10 triangle
is it a right triangle 2*3 , 2*4 , 2*5
?????

Answer 5

I claim it is same shape, different size.

Answer 6

and if it is the same shape, that right angle is still a right angle.

Answer 7

The angles do not change and it will still be a right triangle

Answer 8

Thank you damon

Answer 9

2*3 , 2*4 , 2*5
square each
4*9 , 4*16 , 4*25
try right angle test
4*9 + 4*16 = 4*25 ????
divide both sides by 4
9 + 16 = 25 sure enough that same old 3,4,5 right triangle, just a little bigger