Question

What is the answer to this?

Answer 1

40.1 cm

solution,

BC=8.4 cm

AB=12 cm

BD=4.1 cm

We have to find out: AC ,CD

using Pythagoras theorem:

In ∆ABC ,<B=90°

`{(ac)}^(2) = {(ab)}^(2) + {(bc)}^(2) \\ {(ac)}^(2) = {(12)}^(2) + {(8.4)}^(2) \\ {(ac)}^(2) = 144 + 70.56 \\ {(ac)}^(2) = 214.56 \\ ac = √(214.56) \\ ac = 14.64 \: cm`

Similarly,

In ∆BCD, CB=90

`cd = \sqrt{ {(8.4)}^(2) + {(4.1)}^(2) }`

`= √(70.56 + 16.81) \\ = √(87.37) \\ = 9.34 \: cm`

Perimeter:

AC+CD+AD

=14.64+9.34+(12+4.1)

=40.08

= 40.1 cm

Hope this helps...

Good luck on your assignment..