Triangle Side Ratio: Comparing AB and DE in Similar Triangles

Question

121212888333222EEEDDDBBBAAACCC What is the ratio between the lengths of sides AB and DE in triangles ΔCDE and ΔABC?

Video Solution

Solution Steps

00:00 Find the ratio between sides AB and DE
00:03 Find the ratio of sides
00:07 Substitute appropriate values according to the given data and solve to find the ratio
00:10 Now we want to find if this ratio exists in another pair of sides
00:15 Substitute appropriate values according to the given data and solve to find the ratio
00:20 The ratio of sides is equal
00:25 Corresponding angles are equal (angles)
00:29 The triangles are similar by ASA
00:41 The similarity ratio between the triangles
01:03 Substitute appropriate values according to the given data and solve to find the ratio
01:15 And this is the solution to the problem

Answer

14 \frac{1}{4}