Question

Given: AE is tangent of B. BC = 5 and AE = 24. What is the measure of EC?

Answer 1

Answer:

EC =26

Step-by-step 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 = $\sqrt{676} = 26$

Answer 2

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.