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# If the area of the right triangle shown is 24, what is the value of c?

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Math Expert
Joined: 02 Sep 2009
Posts: 44566
If the area of the right triangle shown is 24, what is the value of c? [#permalink]

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13 Apr 2018, 01:37
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If the area of the right triangle shown is 24, what is the value of c?

(1) b^2 = 225
(2) a^2 = 256/25

[Reveal] Spoiler:
Attachment:

2018-04-13_1235.png [ 4.2 KiB | Viewed 85 times ]

The OA will be automatically revealed on Friday 20th of April 2018 01:37:56 AM Pacific Time Zone
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Joined: 16 Sep 2016
Posts: 206
WE: Analyst (Health Care)
Re: If the area of the right triangle shown is 24, what is the value of c? [#permalink]

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13 Apr 2018, 01:43
Bunuel wrote:

If the area of the right triangle shown is 24, what is the value of c?

(1) b^2 = 225
(2) a^2 = 256/25

[Reveal] Spoiler:
Attachment:
2018-04-13_1235.png

Area = 0.5*Base*Height
24 = 0.5 * B * H

To find C we need both B & H.
As $$C^2 = A^2 + B^2$$

(1) gives us the Height. Suff to find Base using area formula above.

(2) gives us the base. Suff to find height by using formula above.

Hence Option (D) is our answer.

Best,
Re: If the area of the right triangle shown is 24, what is the value of c?   [#permalink] 13 Apr 2018, 01:43
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# If the area of the right triangle shown is 24, what is the value of c?

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