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What is the area

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Intern
Intern
avatar
B
Joined: 31 Jan 2017
Posts: 41

Kudos [?]: 2 [0], given: 179

What is the area [#permalink]

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New post 22 Sep 2017, 20:31
What is the area of the triangle ?

1) Two sides are 41cm each

2) The altitude to the third side of the triangle is 9 cm

Need a detailed solution plz

Sent from my HTC Desire 816G dual sim using GMAT Club Forum mobile app

Kudos [?]: 2 [0], given: 179

Senior Manager
Senior Manager
User avatar
P
Joined: 02 Jul 2017
Posts: 287

Kudos [?]: 120 [0], given: 67

GMAT 1: 730 Q50 V38
GMAT ToolKit User CAT Tests
Re: What is the area [#permalink]

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New post 23 Sep 2017, 00:26
What is the area of the triangle ?

Find attached figure for reference.
Let triangle be ABC.

1) Two sides are 41cm each
AB =AC=41
As we dont know about third side
Insufficient.

2) The altitude to the third side of the triangle is 9 cm
So if we draw perpendicular from vertex to base = altitude = 9
Only altitude give.
Insufficient

(1)+(2)
As AB=AC=41
As given altitude to "third" side =9. We can assume AD perpendicular to BC =9
[Here if statement said : The altitude to one side of the triangle is 9 cm, we will not be able to calculate area as we dont knw on which side perpendicular is drawn)

So by Pythagorean theorem in triangle ABD, we found BD =40.
So BC = BD*2 = 40

Area = 1/2*80*9 = 360
Sufficient

Answer: C
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Kudos [?]: 120 [0], given: 67

Re: What is the area   [#permalink] 23 Sep 2017, 00:26
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What is the area

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