Top Posters
Since Sunday
5
a
5
k
5
c
5
B
5
l
5
C
4
s
4
a
4
t
4
i
4
r
4
Home Q & A Board Guidance Academic Guidance
New Topic  
Midnightcharm Midnightcharm
wrote...
Go to Answer
Posts: 23
Rep: 0 0
11 years ago
Thanks guys. Some of these answers are flawless. I mean I really get it. That being said:

This question has a picture of two triangles side by side. There are no degree measures nor angles given, and the smallest triangle is located on the left.

The base of the smallest triangle is labeled "s." and the base of the largest triagle is labeled "S"

Question:
In the figure above, if the area of the triangle on the right is twice the area of the triangle on teh left, then in terms of s, S =?
Read 880 times
5 Replies
Replies
wrote...
#1
11 years ago
The area of the left triangle is 1/2*s*h1, where h1 is the triangle's height.

The area of the right triangle is 1/2*S*h2, where h2 is that triangle's height.

Since 1/2*S*h2=2*(1/2)*s*h1, it follows that

S=2*(1/2)*s*h2 / [(1/2)*h2] = 2*s*(h2/h1).

If the picture indicates that the triangles are the same height, then you can say that S=2s.
wrote...
#2
11 years ago
Area of a triangle = bh/2
height of the small triangle = h1, height of the large traingle = h2,
Area of the small triangle = s(h1)/2
Area of the large traingle = S(h2)/2
We also know that
S(h2)/2 = s(h1)
S = (2s[h1])/(h2)
Answer accepted by topic starter
micronatmicronat
wrote...
#3
Posts: 36
Rep: 0 0
11 years ago
Sign in or Sign up in seconds to unlock everything for free
1

Related Topics

wrote...
#4
11 years ago
The area of the small triangle is a = 0.5sh
The area of the big triangle is A = 0.5SH

According to your statement, A = 2a
So,

0.5SH = 2(0.5sh)
0.5SH = sh

Now isolate S.
S = (sh)/ (0.5H)
wrote...
#5
11 years ago
if the area of the triangle on the right is twice the area of the triangle on teh left : it means 1:2
so in terms of s S it means 1:root 2

for exp:
if the area would be 1:9
in terms of s S it would be 1:3
New Topic      
Quick Reply
Explore
Post your homework questions and get free online help from our incredible volunteers
  1273 People Browsing
Start New Topic Take the Tour CoursesNew Study Tools Topics Trending Browse by Textbook
Related Images
  
 63
  
 247
  
 181