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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: 49965
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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Difficulty:

35% (medium)

Question Stats:

80% (01:06) correct 20% (01:21) wrong based on 19 sessions

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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

Attachment:

2018-04-13_1235.png [ 4.2 KiB | Viewed 193 times ]

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Joined: 16 Sep 2016
Posts: 303
GMAT 1: 740 Q50 V40
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

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? &nbs [#permalink] 13 Apr 2018, 01:43
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