Asked by Max
In ΔABC, m∠ACB = 90°, and m∠ACD = 45°.
Find AC, if CD = 6 2 in.
How do I know the lengths of the sides if I only know the altitude?
Find AC, if CD = 6 2 in.
How do I know the lengths of the sides if I only know the altitude?
Answers
Answered by
Reiny
Since you have bisected the 90° angle,
∠A = 45° and ∠B = 45°
so you have isosceles triangles, and AC = CD = your given
∠A = 45° and ∠B = 45°
so you have isosceles triangles, and AC = CD = your given
Answered by
succy praise
/AC/=/AD/=x
/CD/=6
Using pyth.
/CD/^2=/AC/^2+/AD/^2
6^2=X^2+X^2
36=2X^2
X^2=18
X=√18=4.242cm
:./AC/=4.242cm
thanks
/CD/=6
Using pyth.
/CD/^2=/AC/^2+/AD/^2
6^2=X^2+X^2
36=2X^2
X^2=18
X=√18=4.242cm
:./AC/=4.242cm
thanks
Answered by
Patrick
12 inches