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,
Let x be the length of the hypotenuse.
Using the Pythagoras theorem for the given triangle, we get
Taking square root on both sides, we get
[∵Side length cannot be negative]
Therefore, the length of the missing side for the given right angle triangle is 8.06 units.