Given the same triangle from part C, if line segment AB measures 12 inches and line segment BC measures 5 inches what is the measure of line segment BD? Show and explain your work.

4.615 in

Step-by-step explanation:

Triangle ABC and ABD are similar because they have two corresponding congruent triangles that is right angle and ∠A. Triangle ABC and BCD are similar because they have two corresponding congruent triangles that is right angle and ∠C. Therefore Triangle ABC, ABD and BCD are similar. Since they are similar, then their sides are proportional in length.

In triangle ABC, using Pythagoras theorem:

AC² = AB² + BC²

AC² = 12² + 5²

AC² = 144 + 25 = 169

AC² = 169

AC = √169 = 13 in

Using similar triangle for ΔABC and ΔABD:

10 glasses of juice could be made with 5 carrots, 1,500 orange juice, 2,000 papaya juice.

ian gone lie this got me confused

step-by-step explanation: