The length of unknown leg is 10 units
Solution:
From the figure attached in question,
Length of one leg of triangle = 24 units
Length of other side (hypotenuse) = 26 units
Length of another leg of triangle = a = ?
Let "a" be the length of unknown leg
Pythagorean theorem, states that the square of the length of the hypotenuse is equal to the sum of squares of the lengths of other two sides of the right-angled triangle
Then, by above definition we get,
[tex]24^2+a^2 = 26^2\\\\576 + a^2 = 676\\\\a^2 = 676 - 576\\\\a^2 = 100\\\\Take\ sqaure\ root\ on\ both\ sides\\\\a = \sqrt{100}\\\\a = \pm 10\\\\since\ length\ cannot\ be\ negative\ , ignore\ negative\ value\\\\Thus\ solution\ is\ \\\\a= 10[/tex]
Thus length of unknown leg is 10 units
