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1 of 9
Common Tangents
A. Classify as externally tangent or internally
tangent circles
1. Internally tangent 2. Externally tangent
Classify as externally tangent or internally
tangent circles
3.Externlly tangent 4. Internally tangent
B. Determine whether the following lines is an
internal tangent or external tangent.
1. ๐‘ƒ๐‘„ = external tangent
2. ๐‘…๐ถ = internal tangent
B. Determine whether the following lines is an
internal tangent or external tangent.
3. ๐‘ƒ๐‘„ = external tangent
4. ๐‘…๐น = external tangent
5. ๐ธ๐น = internal tangent
B. Determine whether the following lines is an
internal tangent or external tangent.
6. ๐ด๐ต = external tangent
7. ๐ถ๐ท = external tangent
8. ๐ธ๐น = internal tangent
9. ๐ป๐บ = internal tangent
C. Give what is being asked.
1. Let ๐ท๐ด = 10. If ๐ท๐ต is 5, find ๐ต๐ดor (r) .
Pythagorean Theorem
The Pythagoras theorem is a mathematical
law that states that the sum of squares of the
lengths of the two short sides of the right triangle
is equal to the square of the length of the
hypotenuse.
c
a
b
1. ๐ท๐ด (c) = 10.
๐ท๐ต (b) = 5
๐ต๐ด (a)= ?
a2 + b2 = c2
๐ต๐ด2
+ ๐ท๐ต2
= ๐ท๐ด2
(BA)2 + 52 = 102
(BA)2 + 25 = 100
(BA)2 = 100 โ€“ 25
(BA)2 = 75
BA = 75
BA = 25 . 3
BA = 5 ๐Ÿ‘
Solution:
2. Let PO = 5, AO = 3. Find PA.
Solution:
(PA)2 + (AO)2 = (PO)2
(PA)2 + 32 = 52
(PA)2 + 9 = 25
(PA)2 = 25 โ€“ 9
(PA)2 = 16
PA = 16
PA = 4

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Activity common tangent- external and internal

  • 2. A. Classify as externally tangent or internally tangent circles 1. Internally tangent 2. Externally tangent
  • 3. Classify as externally tangent or internally tangent circles 3.Externlly tangent 4. Internally tangent
  • 4. B. Determine whether the following lines is an internal tangent or external tangent. 1. ๐‘ƒ๐‘„ = external tangent 2. ๐‘…๐ถ = internal tangent
  • 5. B. Determine whether the following lines is an internal tangent or external tangent. 3. ๐‘ƒ๐‘„ = external tangent 4. ๐‘…๐น = external tangent 5. ๐ธ๐น = internal tangent
  • 6. B. Determine whether the following lines is an internal tangent or external tangent. 6. ๐ด๐ต = external tangent 7. ๐ถ๐ท = external tangent 8. ๐ธ๐น = internal tangent 9. ๐ป๐บ = internal tangent
  • 7. C. Give what is being asked. 1. Let ๐ท๐ด = 10. If ๐ท๐ต is 5, find ๐ต๐ดor (r) . Pythagorean Theorem The Pythagoras theorem is a mathematical law that states that the sum of squares of the lengths of the two short sides of the right triangle is equal to the square of the length of the hypotenuse.
  • 8. c a b 1. ๐ท๐ด (c) = 10. ๐ท๐ต (b) = 5 ๐ต๐ด (a)= ? a2 + b2 = c2 ๐ต๐ด2 + ๐ท๐ต2 = ๐ท๐ด2 (BA)2 + 52 = 102 (BA)2 + 25 = 100 (BA)2 = 100 โ€“ 25 (BA)2 = 75 BA = 75 BA = 25 . 3 BA = 5 ๐Ÿ‘ Solution:
  • 9. 2. Let PO = 5, AO = 3. Find PA. Solution: (PA)2 + (AO)2 = (PO)2 (PA)2 + 32 = 52 (PA)2 + 9 = 25 (PA)2 = 25 โ€“ 9 (PA)2 = 16 PA = 16 PA = 4