First of all, let's draw two new segments.
Since two tangents drawn from a point is equal in length, we have .
So, is an isosceles right triangle.
Since an angle inside an arc is equal to the circumference angle of that arc, we have .
Let's mark some angles on the diagram.
Then, we observe newly made triangles follow this.
Let .
Now the ratio of the corresponding sides is equal to each other.
Answer:
Solution.
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Answer Keys.
First of all, let's draw two new segments.
Since two tangents drawn from a point is equal in length, we have
.
So,
is an isosceles right triangle.
Since an angle inside an arc is equal to the circumference angle of that arc, we have
.
So,
is an isosceles right triangle.
Solution.
Let's mark some angles on the diagram.
Then, we observe newly made triangles follow this.
Let
.
Now the ratio of the corresponding sides is equal to each other.
Answer:
Solution.![textsf\color{red}Let's mark some angles on the diagram. textsf\color{red}Let's mark some angles on the diagram.](https://tex.z-dn.net/?f=textsf%5Ccolor%7Bred%7DLet%27s%20mark%20some%20angles%20on%20the%20diagram.)