Question

Given: AE is tangent of B. BC = 5 and AE = 24.

What is the measure of EC?

Answer 1

26.
You can solve this using the Pythagorean Theorem. The length of AC = 10 and the length of AE = 24. These are your two legs. Square both and then add them together. Then take the square root to get your answer.

Answer 2

EC =26

Explanation:

Because AE is tangent of B so BA ⊥ AE (one of the properties of a tangent line with a circle)

=> The triangle ACE is a right triangle

As given:

• BC = 5 => AC = 10 (the diameter of the circle)
• AE = 24

Use the pytagon theorem to find EC

`EC^(2) = AC^(2) + AE^(2)`

=
`10^(2) + 24^(2)`

= 676

<=> EC =
`√(676) = 26`