if triangle XYZ~ to triangle AYB, and line over XY = 24 yards, line over YZ = 30 yards, and line over YA =8 ya

Question

if triangle XYZ~ to triangle AYB, and line over XY = 24 yards, line over YZ = 30 yards, and line over YA =8 yards what is the length of line over YB

GPT-5 mini · Answer

Triangles XYZ and AYB are similar with corresponding vertices X↔A, Y↔Y, Z↔B, so corresponding sides satisfy
XY/AY = YZ/YB.

Solve for YB:
YB = (AY·YZ)/XY = (8·30)/24 = 240/24 = 10.

So YB = 10 yards.

if triangle XYZ~ to triangle AYB, and line over XY = 24 yards, line over YZ = 30 yards, and line over YA =8 yards what is the length of line over YB