Question

please help 1 medal and fan

If BC = 5.3, CD = 8.8, and AD = 14.3, find AB to the nearest tenth.

a.8.6
b.23.7
c.3.3
d.1.6
https://rialto5819-ehs-pps.gradpoint.com/Resource/2146263,72F,0,0,0,0,0/Assets/testitemimages/geometry_a/similarity/mc095-1.jpg

Answer 1

This is the Triangle Angle Bisector Theorem at work.

If a ray bisects an angle of a triangle, it divides the opposite side into segments proportional to the lengths of the other two sides.

Answer 2

BC is to CD as AB is to AD

5.3/8.8 = AB/14.3

So cross multiply (Means-Extremes Property) and solve for AB.

@knowel

Answer 3

If the AB is distracting, let AB = x.

Then 5.3/8.8 = AB/14.3
becomes
5.3/8.8 = x/14.3

Answer 4

8.6

Answer 5

That is what I got.