SOLUTION: Triangle ABC is a right triangle with legs of 5 cm and 12 cm. Find the length of line DE, in cm. A) 2 1/2 B) 3 C) 2 11/24 D) 2 17/24 E) 2 https://imageshack.com/i/pocDq6y6j

Algebra ->  Triangles -> SOLUTION: Triangle ABC is a right triangle with legs of 5 cm and 12 cm. Find the length of line DE, in cm. A) 2 1/2 B) 3 C) 2 11/24 D) 2 17/24 E) 2 https://imageshack.com/i/pocDq6y6j      Log On


   

Question 1168087: Triangle ABC is a right triangle with legs of 5 cm and 12 cm. Find the length of line DE, in cm.
A) 2 1/2
B) 3
C) 2 11/24
D) 2 17/24
E) 2
https://imageshack.com/i/pocDq6y6j
Found 2 solutions by josgarithmetic, Edwin McCravy:
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
BC=sqrt%285%5E2%2B12%5E2%29=sqrt%2825%2B144%29=sqrt%28169%29=13

Each of BC and DC is half of that so, DC=13%2F2.

Look at the figure and you should see two similar triangles. You should be able to use these to continue and finish.

Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!



All you need do to finish is to apply the Pythagorean theorem
to right triangle CDE to find x, which is the length of DE.

Edwin