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# If the perimeter of ∆ RST above is 3 times the length of RS, then RT =

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Math Expert
Joined: 02 Sep 2009
Posts: 54368
If the perimeter of ∆ RST above is 3 times the length of RS, then RT =  [#permalink]

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08 Aug 2017, 10:42
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Difficulty:

25% (medium)

Question Stats:

100% (00:42) correct 0% (00:00) wrong based on 22 sessions

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If the perimeter of ∆ RST above is 3 times the length of RS, then RT =

(A) 3
(B) 5
(C) 8
(D) 9
(E) 10

Attachment:

2017-08-08_2140.png [ 12.29 KiB | Viewed 1548 times ]

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Re: If the perimeter of ∆ RST above is 3 times the length of RS, then RT =  [#permalink]

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08 Aug 2017, 10:54

Given: RS = 5,ST = 7
Perimeter = 3RS = 15

Let the unknown side be x
5+7+x = 15
The third side, x = 3(Option A)
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Re: If the perimeter of ∆ RST above is 3 times the length of RS, then RT =  [#permalink]

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08 Aug 2017, 23:51

let RT = x

$$12+ x = 3*5$$
$$x= 15-12 = 3$$ (choice A)
Re: If the perimeter of ∆ RST above is 3 times the length of RS, then RT =   [#permalink] 08 Aug 2017, 23:51
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