Given:
The right angle triangle with legs 4 units and 7 units.
To find:
The length of hypotenuse.
Solution:
Pythagoras theorem: In a right angle triangle,
[tex]Hypotenuse^2=Base^2+Perpendicular^2[/tex]
Let x be the length of the hypotenuse.
Using the Pythagoras theorem for the given triangle, we get
[tex]x^2=4^2+7^2[/tex]
[tex]x^2=16+49[/tex]
[tex]x^2=65[/tex]
Taking square root on both sides, we get
[tex]x=\sqrt{65}[/tex] [∵Side length cannot be negative]
[tex]x\approx 8.06[/tex]
Therefore, the length of the missing side for the given right angle triangle is 8.06 units.
