SOLUTION: Mary has cut out a triangle from cardboard. Both sides measure 20 inches each. The base of the triangle measure 24 inches in length. If a dashed line is drawn down the cen

Algebra ->  Triangles -> SOLUTION: Mary has cut out a triangle from cardboard. Both sides measure 20 inches each. The base of the triangle measure 24 inches in length. If a dashed line is drawn down the cen      Log On


   



Question 614512: Mary has cut out a triangle from cardboard.
Both sides measure 20 inches each. The base of the triangle measure 24 inches in length.
If a dashed line is drawn down the center of the triangle, how many inches
would the dashed line be?
A. 24 inches
B. 20 inches
C. 16 inches
D. 12 inches
Would someone please explain to me!

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
the dashed line forms two congruent right triangles; with a hypotenuse of 20 and one side of 12

you can find the dashed side using the Pythagorean Theorem
or
recognize a Pythagorean Triple, 3-4-5 (or in this case 12-16-20)