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In the figure above, radius OB has a length of 4. What is the area of

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Bunuel
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In the figure above, radius OB has a length of 4. What is the area of [#permalink] New post   17 Jan 2019, 03:57
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In the figure above, radius OB has a length of 4. What is the area of triangle ABC?

A 4
B 8
C 12
D 16
E 20

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2019-01-17_1455.png
2019-01-17_1455.png [ 11.37 KiB | Viewed 1269 times ]
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D
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Re: In the figure above, radius OB has a length of 4. What is the area of [#permalink] New post   17 Jan 2019, 04:02
CO is the height = radius = 4.

AB is the base = diameter = 8.

Area = 1/2*b*h = 16.

D is the answer

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Re: In the figure above, radius OB has a length of 4. What is the area of [#permalink] New post   17 Jan 2019, 07:08
Bunuel wrote:

In the figure above, radius OB has a length of 4. What is the area of triangle ABC?

A 4
B 8
C 12
D 16
E 20

Show Spoiler
Attachment:
2019-01-17_1455.png


area of the triangle would be

0.5 * 8 * 4
= 16
IMO D
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In the figure above, radius OB has a length of 4. What is the area of [#permalink] New post   17 Jan 2019, 11:18
Bunuel wrote:

In the figure above, radius OB has a length of 4. What is the area of triangle ABC?

A 4
B 8
C 12
D 16
E 20

Show Spoiler
Attachment:
2019-01-17_1455.png


AB = 2*4 = 8

Hence
(AC)2 + (BC)2 = (AB)2

Hence AC = \sqrt{32} and BC = \sqrt{32}

hence area =1/2 * \sqrt{32} * \sqrt{32}

= 16 (D)
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In the figure above, radius OB has a length of 4. What is the area of [#permalink]
17 Jan 2019, 11:18
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