Respuesta :

You must use Pythagorean theorem:

a^2 + b^2 = c^2

You are given the two legs (40 and 9) which you will plug into a and b. That means that you have to find c, the hypotheses

40^2 + 9^2 = c^2

1600 + 81 = c^2

1681 = c^2

To get rid of the squared on the c, square root both sides:

41 = c

Hope this helped!

Answer: The missing length is 41m

Step-by-step explanation:

To find the missing length c, we simply use the Pythagoras thereon.

The Pythagoras theorem states that: in a right-angle triangle,

opposite²   +  adjacent² =  hypotenuse²

In this case

opposite = 40

adjacent = 9

hypotenuse = c (It is the missing length)

Applying the Pythagoras theorem to this;

opposite²   +  adjacent² =  hypotenuse²

          40²    +     9²       =      c²

We will now go ahead and simplify

40²    +     9²       =      c²

        1600    +    81      =  c²

        1681      =  c²

To get the value of c, we will simply take the square root of both-side

√ 1681      = √ c²

      41    =   c

Therefore the missing length is 41 m

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