**Title: Solving Problems Involving Similar Triangles****Problem Statement:**Given that triangle \( \Delta ABC \) is similar to triangle \( \Delta EDC \), find the values of angles \( v \), \( w \), and the side lengths \( x \), and \( y \).**Diagram Description:**The diagram provided shows two triangles, \( \Delta ABC \) and \( \Delta EDC \), which are similar to each other. - Triangle \( \Delta ABC \): - Angle \( \angle BAC = 128^\circ \) - Angle \( \angle ACB = v^\circ \) - Side \( AB = 49 \) inches - Side \( BC = 91 \) inches - Side \( AC = x \) inches- Triangle \( \Delta EDC \): - Angle \( \angle DEC = w^\circ \) - Angle \( \angle ECD = 28^\circ \) - Side \( DE = 28 \) inches - Side \( EC = 16 \) inches - Side \( DC = y \) inchesThe triangles share a common angle \( \angle ACB = \angle ECD \). **To Be Determined:**- \( v = \) \( \_\_\_\_\_\_\_\_\_\_ \)- \( w = \) \( \_\_\_\_\_\_\_\_\_\_ \)- \( x = \) \( \_\_\_\_\_\_\_\_\_\_ \) inches- \( y = \) \( \_\_\_\_\_\_\_\_\_\_ \) inches**Explanation and Solution:**Since \( \Delta ABC \) is similar to \( \Delta EDC \), we can use the properties of similar triangles to find the missing values.1. **Finding \( v \) and \( w \) (Angles):** - For \( \Delta ABC \): - We already know \( \angle BAC = 128^\circ \) - The sum of the angles in any triangle is \( 180^\circ \) - Therefore, \( \angle ACB + \angle CBA + \angle BAC = 180^\circ \) - So, \( v + 28^\circ + 128^\circ = 180^\circ \) - \( v =

Answered: Image /qna-images/answer/0894575f-f529-4ed9-8cdb-ea62da7a8331.jpg

Answered: AABC is similar to AEDC. Find v, w, x,…

AABC is similar to AEDC. Find v, w, x, and y. D 128° x Y 49in. B 91in. v 28° 16in. [1] wᵒ E 28in.

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter10: Analytic Geometry

Section10.4: Analytic Proofs

Problem 19E: Use the analytic method to decide what type of triangle is formed when the midpoints of the sides of...

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