The legs of a right triangle are 4 units and 7 units. What is the length of the hypotenuse?

Pythagoras theorem:

hypotenuse²=leg₁²+leg₂²

dа ta:

leg₁=4 u

leg₂=7 u

Therefore:

hypotenuse² = (4 u) ² + (7 u) ²

hypotenuse²=16 u²+49 u²

hypotenuse²=65 u²

hypotenuse=√ (65 u²) ≈8.06 u

Answer: the length of the hypotenuse is 8.06 u