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If the hypotenuse of an isosceles right triangle is , what i

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GMAT Club Legend
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Joined: 07 Jun 2014
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If the hypotenuse of an isosceles right triangle is , what i [#permalink] New post 20 Sep 2018, 16:46
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00:00

Question Stats:

33% (00:14) correct 66% (00:40) wrong based on 6 sessions
If the hypotenuse of an isosceles right triangle is \(8\sqrt{2}\), what is the area of the triangle?
(A) 18
(B) 24
(C) 32
(D) 48
(E) 64
[Reveal] Spoiler: OA

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Re: If the hypotenuse of an isosceles right triangle is , what i [#permalink] New post 20 Sep 2018, 21:49
answer should be c not b if b is answer, explain why??
GMAT Club Legend
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Joined: 07 Jun 2014
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GRE 1: Q167 V156
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Re: If the hypotenuse of an isosceles right triangle is , what i [#permalink] New post 24 Sep 2018, 08:32
Expert's post
Explanation

All isosceles right triangles (or 45–45–90 triangles) have sides in the ratio of \(1 : 1 : \sqrt{2}\).

Thus, an isosceles right triangle with hypotenuse \(8\sqrt{2}\) has sides of \(8\), \(8\), and \(8\sqrt{2}\).

Use the two legs of 8 as base and height of the triangle in the formula for area:

\(A=\frac{b \times h}{2}=\frac{8 \times 8}{2}=32\)
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Sandy
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GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4750
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1659 [0], given: 396

CAT Tests
Re: If the hypotenuse of an isosceles right triangle is , what i [#permalink] New post 24 Sep 2018, 08:33
Expert's post
shivankkhanna wrote:
answer should be c not b if b is answer, explain why??



Answer is indeed C sorry for the mistake!
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Re: If the hypotenuse of an isosceles right triangle is , what i   [#permalink] 24 Sep 2018, 08:33
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