Triangle bcd is similar to triangle ace. if the triangles are isosceles, what is the length of ab? f.) 16cm g.) 11cm h.) 40cm j.) 35cm

35 cm which is choice J



Explanation:

AE = 22 and BD = 2.75
The triangles are similar so we can divide the two values (larger over smaller) to get: 22/2.75 = 8
This means that AE is 8 times larger than BD
AE = 8*BD

BC = 5 because CD = 5 (we have an isosceles triangle BCD)

AC is going to be 8 times longer than BC based on what we found above
AC = 8*BC
AC = 8*5
AC = 40

We can break up AC into AB+BC (think of it like gluing the two pieces together)

AC = AB+BC
40 = AB+5
40-5 = AB
35 = AB
AB = 35