Question

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

Answer 1

The answer is 4

Explanation:

Answer 2

Option A) 4

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