A man is trying to zombie-proof his house. He wants to cut a length of wood that will brace a door against a wall. The wall is 4 feet away from the door, and he wants the brace to rest 2 feet up the door. About how long should he cut the brace?

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celesteortizavila celesteortizavila · Answer 1 · 2020-04-14T07:36:24+02:00

Answer:

About 4.5 feet

Step-by-step explanation:

using Pythagorean Theorem : a^2 + b^2 = c^2

(2)^2 + (4)^2 = c^2

4 + 16 = c^2

20 = c^2

Take the the square root of 20 using a calculator and you get 4.47.

Round that up to 4.5

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Vickynehra Vickynehra · Answer 2 · 2022-05-14T17:54:15+02:00

The brace should be 4.5 feet long.

'A right-angled triangle is a triangle having a 90° angle between the base and the perpendicular.'

According to the given problem,

In the right angle triangle in the figure,

perpendicular = 2 feet

Base = 4 feet

The length of the hypotenuse is to be determined.

Let the hypotenuse be x,

Therefore,

according to the Pythagoras theorem,

X² = 2² + 4²

⇒ X² = 20

⇒ X = [tex]\sqrt{20}[/tex]

⇒ X = 4.5

Hence, we can conclude that the brace has to be 4.5 feet long in order to zombie-proof the house.

Learn more about Right angle triangle and Pythagoras theorem here:

https://brainly.in/question/17646355

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