Question

Hi can someone help me out with this problem.

Answer 1

Answer: The answer is 9 units

Step-by-step explanation: What we have in the question is a right angled triangle. The hypotenuse (41 units) has been given as well as one of the other two sides (40 units).

The Pythagoras theorem states that;

AC^2 = AB^2 + BC^2

Where AC is the hypotenuse and AB and BC are the other two sides. We now have

41^2 = 40^2 + BC^2

1681 = 1600 - BC^2

Subtract 1600 from both sides of the equation

81 = BC^2

Add the square root sign to both sides of the equation

9 = BC

Therefore the exact length of the third side is 9 units

Answer 2

Answer:

third side = 9

Step-by-step explanation:

Using Pythagoras' identity on the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

let the third side be x, then

x² + 40² = 41², that is

x² + 1600 = 1681 ( subtract 1600 from both sides )

x² = 81 ( take the square root of both sides )

x = $\sqrt{81}$ = 9

The third side is 9