Question

In the given right triangle, find the missing length.

42 m


41 m


40 m


43 m

Answer 1

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 2

Answer: The missing length is 41m

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