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Sonbull [250]
3 years ago
12

The opening in a rectangular door frame measures 9 feet by 3 feet. Each of the four doors described in the table measures 9 feet

by 3 feet, but have different diagonal lengths. Which door will fit in the rectangular opening?
Door 1: 10 ft
Door 2: 3 square root 10ft
Door 3: 6 square root 2ft
Door 4: 12ft
Mathematics
2 answers:
yarga [219]3 years ago
4 0

Answer:B

Step-by-step explanation:

Leto [7]3 years ago
3 0
Answer: Door 2 will fit through the rectangular door.

To do this problem, we need to use the Pythagorean Theorem. The door is a rectangle and if we draw a line from corner to corner, we have right triangles.

To find the diagonal distance, we have to write and solve the equation below.

3^2 + 9^2 = c^2
9 + 81 = c^2
90 = c^2
c = the square root of 90

The square root of 90 can be simplified to 3 square roots of 10.
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One quantity of interest is maximum height. What other quantity might be of interest?
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<h3>What is maximum height?</h3>

The maximum height of the object can be defined as the highest vertical position along its trajectory line.

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