Problema Solution

In ΔABC, m∠ACB = 90°,

CD

AB

and m∠ACD = 45°. Find CD if BC=3

Answer provided by our tutors

Let CD=x.

Using the Pythagorean Theorem and the fact that ΔCDB is isosceles we have:

2x^2 = 3^2

x^2 = 3^2/2

x = 2.12 approximately