Question

Find x.
Do not round your answer.
8 cm
4 cm
X
x =
= [ ? ] cm

Answer 1

Answer: 12

Step-by-step explanation: 8*8 = 4(4+x), which is equal to 64 = 16 + 4x, subtract 16 from both sides, 48 = 4x, divide both sides by 4 to isolate x, 12 = x

Answer 2

x =12

Explanation:

(whole secant) x (external part) = (tangent)^2

(4+x) * 4 = 8^2

Distribute

16+4x = 64

Subtract 16 from each side

4x = 48

Divide each side by 4

4x/4 = 48/4

x = 12