Question

Can someone please help (and show work plz)

Answer 1

Answer:

  AX = 20

  AY = 15

Step-by-step explanation:

The perimeter is ...

  P = AC +CB +BA = (AX +XC) +CB +(BY +YA)

  128 = AX +32 + 37 +24 +AY

  35 = AX +AY

The ratios of corresponding sides are proportional:

  AX/AY = XC/YB = 32/24 = 4/3

This tells us ...

  AX = 4/3·AY

Substituting, we get ...

  35 = (4/3)AY +AY = (7/3)AY

  (3/7)·35 = 15 = AY

  AX = 35 -AY = 20

The side measures are AX = 20, AY = 15.