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 is , what i
[#permalink]
20 Sep 2018, 16:46
20 Sep 2018, 16:46
1
Expert Reply
00:00
Question Stats:
78% (00:36) correct
21% (00:36) wrong based on 51 sessions
Hide Show timer Statistics
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
(A) 18
(B) 24
(C) 32
(D) 48
(E) 64
Re: If the hypotenuse of an isosceles right triangle is , what i
[#permalink]
20 Sep 2018, 21:49
20 Sep 2018, 21:49
answer should be c not b if b is answer, explain why??
Re: If the hypotenuse of an isosceles right triangle is , what i
[#permalink]
24 Sep 2018, 08:32
24 Sep 2018, 08:32
1
Expert Reply
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:
\(A=\frac{b \times h}{2}=\frac{8 \times 8}{2}=32\)
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:
\(A=\frac{b \times h}{2}=\frac{8 \times 8}{2}=32\)
