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

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Retired Moderator
Joined: 07 Jun 2014
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GRE 1: Q167 V156
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If the hypotenuse of an isosceles right triangle is , what i [#permalink]  20 Sep 2018, 16:46
Expert's post
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Question Stats:

70% (00:18) correct 29% (00:36) wrong based on 17 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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Sandy
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Intern
Joined: 07 Sep 2018
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Re: If the hypotenuse of an isosceles right triangle is , what i [#permalink]  20 Sep 2018, 21:49
answer should be c not b if b is answer, explain why??
Retired Moderator
Joined: 07 Jun 2014
Posts: 4803
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 171

Kudos [?]: 2927 [0], given: 394

Re: If the hypotenuse of an isosceles right triangle is , what i [#permalink]  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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Retired Moderator
Joined: 07 Jun 2014
Posts: 4803
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 171

Kudos [?]: 2927 [0], given: 394

Re: If the hypotenuse of an isosceles right triangle is , what i [#permalink]  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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Sandy
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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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