Find The Length of BD, given right triangle ACD, ....

[D!ddy]

I'm really stumped on this one..

In the triangle shown, AC is 194 cm. What is the length of BD to the nearest centimeter?

I think I am supposed to use the ASA thing but I dont know how to use it..meaning, should i find the angle D for triangle ACD? Please if anyone could tell me how to work this out I would really appreciate it thanks

 

[pka]

Re: Find The Length

Triangle CBD is an isosceles right triangle.

 

[nycfunction]

I'm really stumped on this one..

In the triangle shown, AC is 194 cm. What is the length of BD to the nearest centimeter?

I think I am supposed to use the ASA thing but I dont know how to use it..meaning, should i find the angle D for triangle ACD? Please if anyone could tell me how to work this out I would really appreciate it thanks

1-find length CD using tan15 = CD/194cm. This information is gathered from triangle ACD.

2-Keep in mind that since angle D is 45 degrees, then angle B is also 45 degrees.
We now have a 45-45-90 triangle.

3-When you find length CD, you'll be able to find length BD.

Here is a link to help you with triangle CBD:

http://regentsprep.org/Regents/math/rtritrig/Ltri45.htm

Can you finish now?