225k views
2 votes
Pleaseeeee answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!

Pleaseeeee answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!-example-1
User Gibbone
by
7.9k points

1 Answer

3 votes

Answer:

The third side has a length of 9 units. Expressed as a radical that would be √81.

Explanation:

This is an application of the Pythagorean theorem, which states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.

With that in mind we can simply solve the third side as follows:


h^2 = l^2 + w^2\\l^2 = h^2 - w^2\\l = √(h^2 - w^2) \\l = √(41^2 - 40^2)\\l = √(1681 - 1600)\\l = √(81)\\l = 9

So the remaining side has a length of 9.

User Michael McParland
by
7.9k points