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Anastaziya [24]
3 years ago
8

A trapezoid has a bases 15.5 cm and 22.5 cm. The area of the trapezoid is 361 m². What is the height of the trapezoid?

Mathematics
2 answers:
Stels [109]3 years ago
8 0
Area = [(15.5 + 22.5) / 2] * height
Area = [(15.5 + 22.5) / 2] * height
height = 361 / [(15.5 + 22.5) / 2]
height = 361 / 19
height = 19

umka21 [38]3 years ago
3 0
The answer is 1900m
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Question 1:

We have a 45-45-90 right triangle with the hypotenuse being the length from one corner to the opposite corner.

Multiply 30 ft with the square root of 2 and use a calculator to help give you numerical value to get your answer.

30 \sqrt{2} \approx 42

Your answer is the second choice.

Question 2:

The equilateral triangle can be divided into 2 30-60-90 triangles with the longer leg being the altitude. To get half of the side length of the right triangle, divide the altitude by the square root of 3.

\dfrac{15}{ \sqrt{3} }=\dfrac{15 \sqrt{3} }{3}=5 \sqrt{3}

The full side length is double of that, which is 10 \sqrt {3}.

Multiply that by 3 to get the full perimeter.
10 \sqrt{3}*3=30 \sqrt{3}

Your answer is the third choice. Hope this helps! :)
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