MATH SOLVE

4 months ago

Q:
# circles p and q have radii 6 and 2 and are tangent to each other. find the length of their common external tangent ab

Accepted Solution

A:

Refer to the diagram shown below.

x = the length of the common tangent to the two circles.

From the Pythagorean Theorem,

x² + 4² = 6²

x² = 6² - 4² = 36 - 16 = 20

x = √(4)(5) = 2√5 = 4.472

Answer: 2√5 or 4.472

x = the length of the common tangent to the two circles.

From the Pythagorean Theorem,

x² + 4² = 6²

x² = 6² - 4² = 36 - 16 = 20

x = √(4)(5) = 2√5 = 4.472

Answer: 2√5 or 4.472