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Right triangle LMN is shown. What is the length of the hypotenuse, x, of triangle LMN? Round your answer to three decimal Places. Use the equation below.

Right triangle LMN is shown What is the length of the hypotenuse x of triangle LMN Round your answer to three decimal Places Use the equation below class=

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Answer:

55.866 ft

Step-by-step explanation:

[tex] c^2 = a^2 + b^2 [/tex]

[tex] x^2 = 40^2 + 39^2 [/tex]

[tex] x^2 = 1600 + 1521 [/tex]

[tex] x^2 = 3121 [/tex]

[tex] x = \sqrt(3121} [/tex]

[tex] x = 55.8659 [/tex\

Answer: 55.866 ft

The length of the hypotenuse, x, of triangle LMN to 3 decimal place is

55.866 ft

using Pythagoras theorem,

c² = a² + b²

where

c = hypotenuse

a and b are the 2 other legs.

Therefore,

40²+ 39² = x²

1600 + 1521 = x²

x² = 3121

square root both sides

x = √3121

x = 55.8659108939

x ≈ 55.866 ft

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