Given ABC -DBE, find EB ### Problem StatementGiven triangles \(\triangle ABC \sim \triangle DBE\), find the length of segment \(EB\).### Diagram DescriptionThe diagram depicts two similar triangles: \(\triangle ABC\) and \(\triangle DBE\). Here are the details:- \(\triangle ABC\) is a larger triangle with \(AD\) as part of one side, \(6\).- \(\triangle DBE\) is a smaller, nested triangle within \(\triangle ABC\), sharing the angle at vertex \(B\).- The length \(AD\) is labeled as 11.2 units.- The length \(DB\) is labeled as 28 units.- The length \(BC\) is labeled as 35 units.- The line segment \(AE\) within \(\triangle ABC\) meets line segment \(DE\) from within \(\triangle DBE\).### ExplanationTo find \(EB\), you would use the properties of similar triangles. When two triangles are similar, the ratios of corresponding sides are equal. 1. First, identify the corresponding sides between \(\triangle ABC\) and \(\triangle DBE\).2. Use the proportionality of the sides to set up equations where segments of interest appear.3. Solve for the unknown length (in this case, \(EB\)) using the known lengths.Given:- \(AD = 11.2\)- \(DB = 28\)- \(BC = 35\)### Steps to Solve1. Determine the ratios from the similar triangles: \[ \frac{AB}{DB} = \frac{BC}{BE} \]2. Substitute the known values into the ratio and solve for \(EB\): \[ \frac{11.2 + 28}{28} = \frac{35}{EB} \]### CalculationFirst, we calculate \(AB\): \[ AB = AD + DB = 11.2 + 28 = 39.2 \]Now we set up the proportion: \[ \frac{39.2}{28} = \frac{35}{EB} \]Cross-multiplying to solve for \(EB\): \[ 39.2 \times EB = 28 \times 35 \] \[ 39.

Given that the triangles ABC and DBE are similar. We have to find the measure of BE.

Answered: Given ABC -DBE, find EB

Given ABC -DBE, find EB

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

Similar questions

Evaluate 4x?V - ldr. A BIE
Show that B is the inverse of A. A%3D B = AB = BA = = I
HwS Pind the f area o the Sheded reg ien
A B E D
determine eg, ad, and gc
e xln?x
G Find Эх 5e3ry
Prepare a 2 × 2 table from the following information and calculate Yule's Coefficient of Association and interpret the result : N= 1500, (a) = 1117, (B) = 36o, (AB) = 35.
the a Ta+ke +Kc bt Kd
Help me rank these components of electromagnetic spectrum from LEAST to GREATEST in energy.
SI7 ·•|· 7.
which formula is called Duhamel s principal?