0

# Algbrea 2 Math

A triangle has sides of 4,7, and 10. in another triangle shortest side is 12 and the longest side is x.  Write a proportion that models the situation. And solve for x.

### 2 Answers by Expert Tutors

Nataliya D. | Patient and effective tutor for your most difficult subject.Patient and effective tutor for your mos...
1
Phrase "Write a proportion that models the situation." means triangles are similar and corresponding sides are proportional.

12       x
---- = -----
4        10

after cross-multiplication we have:

4x = 12 * 10

x = 120 / 4

x = 30 (units)

==========
For this particular case, could be good practice, first, to simplify the fraction on the left side of proportion:

3       x
--- = ----
1      10

1*x = 3*10

x = 30
Vivian L. | Microsoft Word/Excel/Outlook, essay composition, math; I LOVE TO TEACHMicrosoft Word/Excel/Outlook, essay comp...
3.0 3.0 (1 lesson ratings) (1)
0
Hi again Bridget;
I APOLOGIZE FOR THE TYPOGRAPHICAL ERROR.  THANK YOU NATALIYA.
4, 7, 10
12, y, x

Let's observe the first column of numbers in that...
4 x 3 =12
Henceforth...
10(3)=x
30=x

Also...
7(3)=y
21=y