Question

If PA = 6, PD = 4 and BE = 5. Find PE A) 4 B) 5 C) 6

Answer 1

Answer:

Option A) 4

Step-by-step explanation:

we know that

Applying the Intersecting Secant-Tangent Theorem

$PA^{2}=(BE+PE)( PE)$

substitute the given values

$6^{2}=(5+PE)( PE)\\ \\36=PE^{2}+5PE\\ \\PE^{2}+5PE-36=0$

Solve the quadratic equation by graphing

The solution is PE=4 units

see the attached figure