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# In triangle ABC, AB = 30. AC = 28. If the area of the triangle is 336,

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Intern
Joined: 29 Sep 2015
Posts: 3
In triangle ABC, AB = 30. AC = 28. If the area of the triangle is 336,  [#permalink]

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Updated on: 02 Oct 2018, 05:20
8
00:00

Difficulty:

75% (hard)

Question Stats:

38% (02:06) correct 62% (02:58) wrong based on 30 sessions

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In triangle ABC, AB = 30. AC = 28. If the area of the triangle is 336, what is the perimeter of the triangle?

A. 58
B. 77
C. 82
D. 84
E. 92

Originally posted by arnavrayaca on 02 Oct 2018, 02:51.
Last edited by Bunuel on 02 Oct 2018, 05:20, edited 1 time in total.
Renamed the topic and edited the question.
Director
Status: Learning stage
Joined: 01 Oct 2017
Posts: 958
WE: Supply Chain Management (Energy and Utilities)
Re: In triangle ABC, AB = 30. AC = 28. If the area of the triangle is 336,  [#permalink]

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02 Oct 2018, 06:35
arnavrayaca wrote:
In triangle ABC, AB = 30. AC = 28. If the area of the triangle is 336, what is the perimeter of the triangle?

A. 58
B. 77
C. 82
D. 84
E. 92

Formula used:- Area of scalene triangle=$$\sqrt{s(s-a)(s-b)(s-c)}$$
Here, a=28, b=30, c=x(say)
$$s=\frac{a+b+c}{2}=29+\frac{x}{2}$$

So, $$(29+\frac{x}{2})(29-\frac{x}{2})(\frac{x}{2}+1)(\frac{x}{2}-1)=336^2$$
Or, $$\left(29^2-\frac{x^2}{4}\right)\left(\frac{x^2}{4}-1\right)=336^2$$
Solving for x, we have x=26.

Hence perimeter=26+28+30=84

Ans. (D)
_________________

Regards,

PKN

Rise above the storm, you will find the sunshine

Re: In triangle ABC, AB = 30. AC = 28. If the area of the triangle is 336,   [#permalink] 02 Oct 2018, 06:35
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# In triangle ABC, AB = 30. AC = 28. If the area of the triangle is 336,

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