Answer:
The hypotenuse is [tex]\sqrt{2}[/tex] times as long as either leg
Step-by-step explanation:
a true statement about a 45-45-90 triangle
The common ratio of 45-45-90 degree triangle is
x:x:[tex]\sqrt{2}x[/tex]
Suppose the value of x is 1 then the ratio becomes
1:1:[tex]\sqrt{2}[/tex]
1 is the side length of the triangle and [tex]\sqrt{2}[/tex] is the hypotenuse
The hypotenuse is [tex]\sqrt{2}[/tex] times as long as either leg
