The length of [tex]AB[/tex] is [tex]24.166\ cm[/tex] or [tex]2\sqrt{146}\ cm[/tex].
What is Right angled triangle ?
Right angled triangle is a triangle in which one angle is a right angle or two sides are perpendicular
Pythagoras Theorem ;
[tex]BC^2+AC^2=AB^2[/tex]
We have,
Right angled triangle [tex]\triangle ABC[/tex] right angled at [tex]C[/tex],
[tex]AC=22cm[/tex] and [tex]BC=8cm[/tex]
So, using Pythagoras Theorem,
[tex]BC^2+AC^2=AB^2[/tex]
[tex]8^2+22^2=AB^2[/tex]
⇒ [tex]AB^2= 64+484[/tex]
[tex]AB^2=548[/tex]
[tex]AB =\sqrt{584}=2\sqrt{146}[/tex]
[tex]AB=24.166\ cm[/tex]
So, the value of [tex]AB[/tex] is [tex]24.166\ cm[/tex] or [tex]2\sqrt{146}[/tex] cm which is find out using Pythagoras Theorem.
Hence, we can say that the length of [tex]AB[/tex] is [tex]24.166\ cm[/tex] or [tex]2\sqrt{146}\ cm[/tex].
To know more about Right angled triangle click here
https://brainly.com/question/3770177
#SPJ3
