What is the length of the hypotenuse of a right triangle with legs of lengths 7 and 8

16 is legs of lengthw

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