What is the value of y in the diagram below

A.7 square root 2

B.2 square root 3

C.square root 14

D.square root 5

Guest Jul 25, 2019

#1**+3 **

m∠ABD = m∠CBA because they are the same angle

m∠BDA = m∠BAC because they are both right angles.

So by the AA similarity theorem, triangle ABD is similar to triangle CBA

Do you see what to do next?

hectictar Jul 25, 2019

#2**+1 **

no i thought i did but then i got square root of 10 so no i don't get it still

sorry can you explain it further plz

Guest Jul 25, 2019

#5**+3 **

Let's just look at the similarity statement △ABD ~ △CBA

△ABD ~ △CBA AB in the first triangle corresponds to CB in the second triangle.

△ABD ~ △CBA BD in the first triangle corresponds to BA in the second triangle.

So:

AB / CB = BD / BA

Do you see where that came from?

All that's left to do is plug in the lengths of those sides and solve for y .

hectictar
Jul 25, 2019