alicechang520 alicechang520
  • 01-05-2021
  • Mathematics
contestada

can you guys help me with this

can you guys help me with this class=
can you guys help me with this class=

Respuesta :

cwrw238 cwrw238
  • 01-05-2021

Answer:

BD = 3.2.

CD = 2.4.

Step-by-step explanation:

By Pythagoras:

AB^2 = 3^2 + 4^2 = 25

AB = 5.

Triangles ADC and ACB are similar, so

AC / AB = AD / AC

3 / 5 = AD / 3

AD = 3*3/5

AD =  9/5 = 1.8

So BD = 5 - 1.8

= 3.2.

CD^2 = AC^2 - AD^2 (Pythagoras)

CD^2 = 3^2 - 1.8^2 = 5.76

CD = 2.4.

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