Question

The lengths of two sides of a right triangle are given. Find the length of the third side. Round to the nearest tenth if necessary.

leg: 29 m; hypotenuse: 46 m


54.4 m

35.7 m

40.9 m

50.5 m

Answer 1

The square root of 46^2m - 29^2m
The answer is approximately 35.707 which is option B 35.7m

Answer 2

The length of the third side of a right triangle is 35.7 m

What is a right triangle?

"It is a triangle whose one of the angle measures 90° "

What is hypotenuse?

"It is the longest side of the right triangle."

What is Pythagoras theorem?

"For a right triangle, $x^{2} + y^{2}= z^{2}$

where z is the hypotenuse and x, y are other two sides of the right triangle."

For given question,

We have been given the two sides of a right triangle.

leg = 29 m; hypotenuse = 46 m

Let 'a' be the other leg of the right triangle.

Using Pythagoras theorem,

$\Rightarrow a^{2} + 29^{2}= 46^{2}\\\\\Rightarrow a^{2}=46^{2}- 29^{2} \\\\\Rightarrow a^{2}=2116-841\\\\\Rightarrow a^{2} = 1275\\\\\Rightarrow a=\sqrt{1275}\\\\\Rightarrow a=35.7$

Therefore, the length of the third side of a right triangle is 35.7 m

Learn more about the Pythagoras theorem here:

https://brainly.com/question/343682

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