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fomenos
3 years ago
5

A ladder is leaning against the side of a building. The

Mathematics
1 answer:
cupoosta [38]3 years ago
8 0

Answer:

16 ft

Step-by-step explanation:

Based on the situation above, it forms into a right triangle. Therefore we can apply the Pythagorean Theorem. We will use the formula below:

c = √( a² + b²)

In the problem above, the ladder acts as the hypotenuse denoted by c. It has a length of 20 ft. While the base denoted by b is 12 ft. Therefore, we need to solve for a. We will derive the formula above.

c² = a² + b²

a² = c² - b²

a = √( c² - b² )

a = √( 20² - 12² )

a = 16

The unit is in ft.

Correct me if I'm wrong. I hope it helps.

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3 years ago
Help and explain thanks!
katen-ka-za [31]

Answer:

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Step-by-step explanation:

One way to tackle this is by getting another sheet of paper and drawing it out, then counting up the total of the sides. If you draw it, you can see that you're dealing with a rectangle; two sides of length 12 and two sides of length 8. If you don't like drawing or don't want to in this case, another way to get the answer is by knowing one vertex is at (0, 0), so the next vertex (0, 8), would create a side that's exactly 8 units long. Kind of the same, you know from (0, 0), you also have a point (12, 0), so drawing that would create a side that's 12 units long. All in all, to get the perimeter in units, you have 12 + 12 + 8 + 8 = 40.

The problem says it wants the amount of wood in centimeters needed for the perimeter. What we just found was the perimeter in generic units, so if the problem says every "grid square", or unit, is 3 centimeters long, then all you have to do is take our result 40 and multiply it by 3 to get the number of centimeters. Your perimeter in centimeters would be 120 cm.

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