Question

Find x.Do not round your answer.8 cm4 cmхx = [ ?] cmEnterAnswer

Answer 1

The secant-tangent formula is :

`\frac{\text{Whole Secant}}{\text{ tangent}}=\frac{\text{ tangent}}{\text{ external secant part}}`

From the problem,

whole secant = (x + 4) cm

tangent = 8 cm

external secant part = 4 cm

Using the formula above :

`\begin{gathered} (x+4)/(8)=(8)/(4) \\ \text{ cross multiplication :} \\ 4(x+4)=8(8) \\ 4x+16=64 \\ 4x=64-16 \\ 4x=48 \\ x=(48)/(4)=12 \end{gathered}`

ANSWER :

x = 12 cm