Determine whether a tangent line is shown in this figure? a. no b. yes
2 answers:
Answer:
Option B is correct .i.e., Yes.
Step-by-step explanation:
We are given with length of three line segments .
10 , 6 and 8.
We use the result to check if one line is tangent or not.
Result: Tangent is perpendicular to radius at point of contact.
So if AB is tangent than ABO form a right angled triangle and AB is right angle.
AO² = 10² = 100
AB² + BO² = 8² + 6² = 64 + 36 = 100
Since AO² = AB² + BO²
According to Pythagoras theorem,
∠B is 90° which implies AB is tangents to circle.
Therefore, Option B is correct .i.e., Yes.
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Answer:
The area of this triangle is about 21.2132 square units.
Step-by-step explanation:
First, find the lengths of the legs AB and BC.
Length of AB ===
Find the difference in position vertically:
The points are 6 units apart vertically.
Find the difference in position horizontally:
The points are 3 units apart horizontally.
These lengths form a right triangle with the distance between the points as the hypotenuse, so you can use the pythagorean theorem to solve:
AB is about 6.7082 units long.
Length of BC ===
Same process as above.
Find the vertical distance:
2 units apart vertically.
Find the horizontal distance:
6 units apart horizontally.
Use the pythagorean theorem:
BC is about 6.3246 units long.
Area ===
Finally, you can use these to find the area of the triangle. The area of a right triangle is just half the area of a rectangle with the same base and height:
The area of this triangle is about 21.2132 square units.
