The hypotenuse of a 45-45-90 triangle is the length of the side times the square root of 2.
The side length is 14 cm, the hypotenuse will be 14√2 cm
Answer:
Length of the hypotenuse = [tex]14\sqrt{2}[/tex] cm
Step-by-step explanation:
Each leg of a 45°-45°-90° triangle measures 14 cm
The ratio of given special right triangle is [tex]x:x:\sqrt{2}x[/tex]
The variable x represents the sides of the triangle
[tex]\sqrt{2}x[/tex] represents the hypotenuse of the triangle
Given [tex]x=14[/tex]
WE know the hypotenuse is [tex]\sqrt{2}x[/tex]
Replace x with 14
[tex]\sqrt{2}(14)[/tex]
[tex]14\sqrt{2}[/tex]
Length of the hypotenuse = [tex]14\sqrt{2}[/tex] cm
