Question

One leg of a 45 - 45 - 90 triangle measures 12 centimeters what is the length of the hypotenuse

Answer 1

Hello!

Since this triangle is what I like to call a "45er", and both legs of a 45er are equal, we can now apply the Pythagorean Theorem to find the measure of the hypotenuse.


`12^2 + 12^2 = c^2 144 + 144 = 288 √(288) = 16.9` (Rounded)

Your answer is 16.9. Round this to 17 if the question is looking for a whole number. :)

Answer 2

The angles of the triangle are given as to have measures of 45°-45°-90°. This entails that the triangle is an isosceles triangle where the 2 legs of the triangle are of equal length. We calculate as follows:

c² = a² + b²

c² = 2a²

4² = 2a²

a = 2√2

Hope this answers the question.