Question

Converse of 45-45-90 triangle theorem​

Answer 1

Answer:

The relationship between the three sides of any kind of right triangle is given by the Pythagorean Theorem. The formula for the Pythagorean Theorem is a2 + b2 = c2. The rule for using this formula is that c must stand for the hypotenuse. It does not matter which of the two sides you call a and which you call b.

Now, let's take a look at how the Pythagorean Theorem works for a generic 45-45-90 triangle. That way, we can figure out a formula that relates the length of the hypotenuse to the length of the leg of any 45-45-90 triangle.

In triangle FTY, we labeled the hypotenuse c according to the rule of the Pythagorean Theorem. The other two sides, as we mentioned above, have the same length, so we do not have to label one of them a and the other b. Instead, we can assign both legs the same variable.