Question

Each leg of a 45-45-90 triangle has a length of 6 units. What is the length of its hypotenuse?

Answer 1

let x = the length of the triangle's hypotenuse
using proportions, this is what the equation looks like:

cross multiply to get:

divide both sides by 45 to get
x=12

Answer 2

Firstly, consider the 45-45-90 ratio:

Length of leg: Length of leg : Length of Hypotenuse
1 : 1 : √2

Now let's compare this to our scenario and find the length of the hypotenuse!

Length of leg: Length of leg : Length of Hypotenuse
1 : 1 : √2
Scenario= 6 : 6 : 6√2

So technically, multiply the hypotenuse by 6 to follow the 45-45-90 ratio rule!

Hope this helps!