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ruslelena [56]
3 years ago
6

Triangle ABC is an equilateral triangle. Segment AD measures 18 inches.

Mathematics
2 answers:
aleksandr82 [10.1K]3 years ago
8 0

Answer:

C and D

Step-by-step explanation:

Montano1993 [528]3 years ago
6 0

Answer:

The correct answer is option C and D.

C). DC = 6√3

D). AC = 12√3

Step-by-step explanation:

From the given information we get,

Triangle ABC is an equilateral triangle. Segment AD measures 18 inches.

ΔABC is an equilateral triangle, so all angles are 60°.AD is the perpendicular to BC from A.

2 triangles are formed.ΔABD and ΔACD

angles are in the ratio 30 : 60 : 90

Therefore the sides are in the ratio,

BD : AD : AB = 1: √3 : 2

AD = 18 then,

BD = 18/√3 = 6√3 = DC

AB = 36√3 = 12√3 = BC = AC

Therefore the correct answer is option C and D.

C). DC = 6√3

D). AC = 12√3

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Answer:

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(which agrees with answer B in your list)

Step-by-step explanation:

Notice that the lateral surface area of prisms always consists of parallelograms, whose areas are given by the product base times height. = B x H

Therefore if the dimensions of the prism double, then the base and height of the parallelograms will double as well, making such individual ares of the lateral faces go from:

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with the faces for the top and bottom bases of the prism, something similar happens, so we conclude that the surface area of the larger prism is 4 times the surface area of the smaller one.

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