Answer : 23.77
Pythagoras theorem states that in any right angled triangle , the sum of squares of base and perpendicular is equal to the square of hypotenuse .
- Here in the given figure , hypotenuse is 30.5 and perpendicular is 19.1 .
[tex]\sf\longrightarrow (base)^2+(perpendicular)^2=hypotenuse^2\\[/tex]
- Substituting the respective values,
[tex]\sf\longrightarrow x^2 +(19.1)^2 = (30.5)^2 \\[/tex]
[tex]\sf\longrightarrow x^2 + 364.81 = 930.25 \\[/tex]
[tex]\sf\longrightarrow x^2 = 930.25 -364.81\\[/tex]
[tex]\sf\longrightarrow x^2 = 565.44\\[/tex]
[tex]\sf\longrightarrow x=\sqrt{565.44} \\[/tex]
[tex]\sf\longrightarrow \underline{\boxed{\bf base (x) = 23.77 }} \\[/tex]
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