Respuesta :

Answer:

[tex] \sqrt{39} [/tex]

Step-by-step explanation:

5

[tex]5 {}^{2} + x {}^{2} = 8 {}^{2} \\ 25 + x {}^{2} = 64 \\ x {}^{2} = 64 - 25 \\ x {}^{2} = 39 \\ x = \sqrt{39} [/tex]

The length of the unknown length is √39 ft if the other lengths are 5 ft and 8 ft in the right angle triangle.

What is a right-angle triangle?

It is defined as a triangle in which one angle is 90 degrees and the other two angles are acute angles. In a right-angled triangle, the name of the sides are hypotenuse, perpendicular, and base.

Let's suppose the unknown length is x ft

From the Pythagoras theorem:

[tex]\rm hypotenuse^2= perpendicular^2+ base^2[/tex]

[tex]8^2 = 5^2 +x^2[/tex]

64 = 25 + x²

x = √39 ft

Thus, the length of the unknown length is √39 ft if the other lengths are 5 ft and 8 ft in the right angle triangle.

Learn more about the right angle triangle here:

brainly.com/question/3770177

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