Question

WILL GIVE BRAINLIEST ANSWER. Angle BCD is a circumscribed angle of circle A. Circle A is shown. Line segments B A and D A are radii. Tangents B C and D C intersect at point C outside of the circle. A line is drawn to connect points A and C. The length of A B is 8 and the length of B C is 6. Angle C A D is 37 degrees. What is the length of line segment AC? 10 units 12 units 14 units 16 units

Answer 1

Answer:

Length of AC segment=10 units

Step-by-step explanation:

We are given that AB and DA are radius of circle.

BC and DC are tangents of circle which intersect at point C.

AB=8 units

BC=6 units

Angle CAD=37 degree

We know that radius is always perpendicular to the tangent.

Therefore, AB is perpendicular to BC.

Using Pythagoras theorem

$(Hypotenuse)^2=(Base)^2+(perpendicular\;side)^2$

$AC^2=AB^2+BC^2$

$AC^2=8^2+6^2=100$

$AC=\sqrt{100}=10 units$