Question

PLSSS HELP ME i am really struggling please i genuinely need help and pls show work so i understand and dont put any bad answers pls thanksss

Answer 1

Answer:

OW = 8

Step-by-step explanation:

It states that WC is a tangent to the circle. The line OW is the radius of the circle that meets the tangent, the circle theorem rule is that the angle a tangent makes to a radius of a circle is 90°. So angle CWO is 90°. This makes triangle CWO a right angle triangle.

Now we can use Pythagoras theorem to find the value of OW.

In the theorem c is the longest side of a right angled triangle and a and b are the smaller sides:

c² = a² + b²

So we can rearrange the equation to find on of the smaller sides:

a² = c² - b²

OW² = 17² - 15²

OW² = 289 - 225

OW² = 64

OW = √64

So OW is 8.