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Bisectors in Triangles

Bisectors in Triangles. Mr. Barker Relationships Within Triangles. Bisectors in Triangles. If an angle bisector in a triangle reaches the opposite side, it will cross at the midpoint of the opposing side. The angle bisector cuts the opposing side length in half. Bisectors in Triangles. C.

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Bisectors in Triangles

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  1. Bisectors in Triangles Mr. Barker Relationships Within Triangles

  2. Bisectors in Triangles • If an angle bisector in a triangle reaches the opposite side, it will cross at the midpoint of the opposing side. • The angle bisector cuts the opposing side length in half.

  3. Bisectors in Triangles C A D B

  4. Bisectors in Triangles Find the value of x C A D B x 35 AD is the angle bisector of ACB

  5. Bisectors in Triangles Find the value of x C A D B 5x + 5 55 AD is the angle bisector of ACB

  6. Bisectors in Triangles Find the value of x C A D B 4x + 1 3x + 6 AD is the angle bisector of ACB

  7. Bisectors in Triangles Find the value of x C A D B 5x + 7 7x - 1 AD is the angle bisector of ACB

  8. Bisectors in Triangles • If a ray is an angle bisector the two resulting angles are equal. C D A B

  9. Bisectors in Triangles • Find the value of x, then find FD and FB. Angle BCD is 90. C 45 B x D F

  10. Bisectors in Triangles • Find the value of x, then find FD and FB. Angle BCD is 70. C B D 7x 35 F

  11. Bisectors in Triangles • Find the value of x, then find FD and FB. C B D 5x 2x + 24 F

  12. Bisectors in Triangles • Find the value of x, then find FD and FB. C B D 4x + 7 24 +7 F

  13. Bisectors in Triangles • Find the value of x, then find FD and FB. C B D 50 - 4x 5x + 10 F

  14. Bisectors in Triangles • Find the value of x, then find FD and FB. C B D 5x - 100 200 + x F

  15. Closure • What is an angle bisector? • What does an angle bisector create? • How does the angle bisector affect the opposing side in a triangle? • How can you solve for missing angles in a triangle if you know only one bisected angle measure? • How can you solve for the missing side length of a triangle if you know one side length and there is an angle bisector?

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