SOLUTION: A square that measures 5 inches on a side is folded in half along a diagonal. Which of the following must be true? I. The triangle is a right triangle II. The triangle is an is

Algebra ->  Rectangles -> SOLUTION: A square that measures 5 inches on a side is folded in half along a diagonal. Which of the following must be true? I. The triangle is a right triangle II. The triangle is an is      Log On


   

Question 340316: A square that measures 5 inches on a side is folded in half along a diagonal. Which of the following must be true?
I. The triangle is a right triangle
II. The triangle is an isosceles triangle
III. The length of the hypotenuse of the triangle is 5
(a)I only
(b)II only
(c)III only
(d)I II only
(e)I II III only
(e)
Answer by Edwin McCravy(20065) About Me  (Show Source):
You can put this solution on YOUR website!
A square that measures 5 inches on a side...


is folded in half along a diagonal. 


and looks like this:

Which of the following must be true?
I. The triangle is a right triangle

Certainly looks like one to me.

II. The triangle is an isosceles triangle

Sure is. It has two sides equal in length for both measure 5.

III. The length of the hypotenuse of the triangle is 5

Nope! No way that green hypotenuse is as short as those two black legs!

(a)I only
(b)II only
(c)III only
(d)I II only

That's it!

(e)I II III only

Edwin