Answer: The length of the hypotenuse is 10.6 units (approximately)
Step-by-step explanation: A right angled triangle can be solved by applying the Pythagoras theorem which states thus;
AC^2 = AB^2 + BC^2
Where AC is the hypotenuse (the longest side) and AB and BC are the other two sides.
In this question, AB and BC are the other two sides, that is, 7 units and 8 units. Hence, to calculate the hypotenuse,
AC^2 = AB^2 + BC^2
AC^2 = 7^2 + 8^2
AC^2 = 49 + 64
AC^2 = 113
Add the square root sign to both sides of the equation
AC = 10.63
Therefore, the length of the hypotenuse is approximately 10.6 units