The length of two leg are given as AC = 55ft AB = 44ft. Hence, The length of the missing leg is 33 ft.
What is Pythagoras' Theorem?
If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
Let's consider the right angle triangle ABC.
The length of two leg are given as
AC = 55ft
AB = 44ft.
[tex]|AC|^2 = |AB|^2 + |BC|^2 \\\\|55|^2 = |44|^2 + |BC|^2 \\\\ |BC|^2= 3025 - 1936\\\\ |BC|^2 = 1089\\\\ |BC| = \sqrt{1089} \\\\ |BC| = 33[/tex]
Hence, The length of the missing leg is 33 ft.
Learn more about Pythagoras' theorem here:
https://brainly.com/question/12105522
#SPJ2
