Question

given ad is tangent of b and c. db 25, ad 20, ae 16. what is the measure of cb?

Answer 1

Answer on Question #48882 – Math – Geometry

AD is tangent of B and C.

DB= 25, AD=20, and AE=16. BC - ?

Solution

We get the two triangles ABD and ECD, that are similar (these triangles are right, angles EDC and ADB are equal), so DB/DC = AD/DE.

DB/(DB - BC) = AD/(AD - AE)

25/(25 - BC) = 20/(20 - 16)

5*(25 - BC) = 25

BC = 20

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