Question #919fe

1 Answer
Jan 29, 2018

The shortest side of the larger similar triangle is #10.5# inches

Explanation:

Each side is in the ratio of #(7)/(2)#

#("Short side of larger")/("Short side of original") = (7)/(2) = (x)/(3)#

Solve for #x#, the shortest side of the larger triangle

1) Cross multiply
#2x = 21#

2) Divide both sides by #2# to isolate #x#, the shortest side of the larger triangle
#x = 10.5# #larr# answer for "the shortest side of the larger triangle"

Answer:
The shortest side of the larger similar triangle is #10.5# inches

#"Extra credit"#:
The other sides are #17.5# inches and #21# inches