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frozen [14]
2 years ago
7

The trapezoid ABCD has bases AB = 15 and CD = 5, thigh AD = 9 and diagonal BD = 12. Find:

Mathematics
1 answer:
Fed [463]2 years ago
3 0

Answer:

The height of the trapezoid is 6.63 units

The perimeter of the trapezoid is 38 units

Step-by-step explanation:

Whenever a geometry problem is given, it is often useful if it is sketched out. A sketch of this problem can be found in the image attached.

A)

We can see that a right-angled triangle is formed between points BED, with line BE being the height, h.

To get the dimensions of the line EB, we subtract the dimensions of DC from AB. This will give 15 -5 = 10

hence the dimensions of the righ angled triangle are

DE= h

DB = 12 (diagonal)

EB = 10

From Pythagoras' theorem,

h =\sqrt{12^2 -10^2}=6.63

The height of the trapezoid is 6.63

B)

We can get the perimeter of the trapezoid by adding the dimensions of all four sides together.

This will be

AD + DC + CB + AB

However we can assume for this case that it is a symmetrical trapezoid, and hence AD = CB

Thus, perimeter =

2 (AD) + DC +AB

2(9) +5 +15 = 38.

The perimeter of the trapezoid is 38 units

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Answer:

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Step-by-step explanation:

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3 0
2 years ago
The equation 6y = 30 - 8x has solutions of (b, 1) and (a, b).<br> What are the values of a and b?
victus00 [196]

The values of a and b are a = \frac{3}{2} and b = 3, respectively.

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If we know that (x,y) = (b, 1), then the value of b is:

6 = 30-8\cdot b

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If we know that (x,y) = (a, b) and b = 3, then the value of a is:

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To learn more on linear functions, we kindly invite to check this question: brainly.com/question/5101300

6 0
2 years ago
A woman begins driving her car 25 km north of calgary. Some time later, the woman and her car are 100 km north of calgary.
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Well the displacement of milage from the 2 places if 75km however, the women and her car are in the same place so there is no displacement. But 75km is the correct mathematical answer.
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3 years ago
The annual snowfall in city A is 58.7 inches. This is 12.5 inches more than six times the snowfall in city B. Find the annual sn
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3 0
3 years ago
Read 2 more answers
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