GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
If the hypotenuse of an isosceles right triangle has length of 8, then
[#permalink]
29 Apr 2022, 01:00
29 Apr 2022, 01:00
Expert Reply
00:00
Question Stats:
78% (00:49) correct
21% (00:43) wrong based on 38 sessions
Hide Show timer Statistics
If the hypotenuse of an isosceles right triangle has length of 8, then the area of the triangle is
A. 4
B. 4√2
C. 8
D. 8√2
E. 16
A. 4
B. 4√2
C. 8
D. 8√2
E. 16
Part of the project: GRE Quantitative Reasoning Daily Challenge - (2022) EDITION
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: If the hypotenuse of an isosceles right triangle has length of 8, then
[#permalink]
29 Apr 2022, 06:41
29 Apr 2022, 06:41
1
Carcass wrote:
If the hypotenuse of an isosceles right triangle has length of 8, then the area of the triangle is
A. 4
B. 4√2
C. 8
D. 8√2
E. 16
A. 4
B. 4√2
C. 8
D. 8√2
E. 16
Let's sketch the given information.
Let x = the length of each of the two equal sides
From here, we can apply the Pythagorean theorem to write: x² + x² = 8²
Simplify: 2x² = 64
Divide both sides of the equation by 2 to get: x² = 32
This means x = √32 [you'll see why I didn't bother simplifying √32 shortly]
So we have the following:
Triangle area = (base)(height)/2 = (√32)(√32)/2 = 32/2 = 16
Answer: E
Target Test Prep Representative
Joined: 12 Sep 2018
Status:Founder & CEO, Target Test Prep
Affiliations: Target Test Prep
Posts: 1626
Given Kudos: 5
Re: If the hypotenuse of an isosceles right triangle has length of 8, then
[#permalink]
26 Apr 2023, 18:49
26 Apr 2023, 18:49
1
Expert Reply
Carcass wrote:
If the hypotenuse of an isosceles right triangle has length of 8, then the area of the triangle is
A. 4
B. 4√2
C. 8
D. 8√2
E. 16
A. 4
B. 4√2
C. 8
D. 8√2
E. 16
Since the hypotenuse is 8, the leg is 8/√2. Thus, the area is:
(8/√2)^2/2 = 32/2 = 16
Answer: E
