x = 65
Solution:
In the given diagram is a right angled triangle.
Base of the triangle = 56
Height of the triangle = 33
Hypotenuse = x
To find the hypotenuse of the given triangle.
By the Pythagoras theorem,
[tex]Hypotenuse ^{2}= Base ^{2}+ Height ^{2}[/tex]
[tex]x^2=56^2+33^2[/tex]
[tex]x^2=3136+1089[/tex]
[tex]x^2=4225[/tex]
Taking square root on both sides of the equation, we get
[tex]\sqrt {x^2}=\sqrt {65^{2}}[/tex]
[tex]x=65[/tex]
Hence x = 65.
