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3 years ago

Is the purple triangle a right triangle? Explain. 15.5 20.8 m 14.0 m

Mathematics

2 answers:

Olenka [21]3 years ago

6 0

Answer:

15.5^2 + 14.0^ = 20.8^2

436.25 = 432.64

it is not a triangle because a+b is not = c

cupoosta [38]3 years ago

3 0

Answer: These given lengths do not make up a right triangle.

Step-by-step explanation:

In order to figure out if this is a right triangle or not, we would need to use the Pythagorean Theorem in order to verify if these lengths satisfy the properties of a right triangle. We would need to use the formula a^2 + b^2 = c^2.

14^2 + 15.5^2 = 20.8^2

196 + 240.25 = 432.64

436.25 ≠ 432.64

Therefore, this is not a right triangle.

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3 years ago

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goldfiish [28.3K]

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(a) The total area of compound figure is $284.52ft^2$ .

(b) The total perimeter of compound figure is 68.84 ft.

Step-by-step explanation:

Perimeter: The total distance covered by the figure.

Area: It is defined as the space occupied by the figure.

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Length of rectangular figure = 19 ft

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Part (a):

Now calculating the total area of the compound figure.

$\text{Total area}=\text{Area of rectangular figure}+\frac{1}{2}\times \text{Area of circle}\\\\\text{Total area}=\text{Length}\times \text{Breadth}+\frac{1}{2}\times \pi r^2$

Now putting all the given values in this formula, we get:

$\text{Total area}=(19ft\times 12ft)+\frac{1}{2}\times 3.14\times (6ft)^2\\\\\text{Total area}=284.52ft^2$

Part (b):

Now calculating the total perimeter of the compound figure.

$\text{Total perimeter}=2\times \text{Length}+Breadth+(\frac{1}{2}\times \text{Circumference})\\\\\text{Total perimeter}=2\times \text{Length}+Breadth+(\frac{1}{2}\times 2\times \pi \times r)$

Now putting all the given values in this formula, we get:

$\text{Total perimeter}=2\times \text{Length}+Breadth+(\frac{1}{2}\times 2\times \pi \times r)\\\\\text{Total perimeter}=2\times 19ft+12ft+(\frac{1}{2}\times 2\times 3.14 \times 6ft)\\\\\text{Total perimeter}=68.84ft$

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