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3 years ago

Hi can someone help me out with this problem.

Mathematics

2 answers:

Alexxandr [17]3 years ago

5 0

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

elena-s [515]3 years ago

3 0

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

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$\boxed{\boxed{\boxed{\boxed{\mathsf{Thus\ your\ answer\ is:\boxed{\boxed{\mathsf{b=1}}}}}}}}\checkmark$

$\text{Good luck on your assignment and enjoy your day!}$

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