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Genrish500 [490]
3 years ago
8

Which type of triangle will always have a perpendicular bisector that is also an angle bisector?

Mathematics
2 answers:
jenyasd209 [6]3 years ago
8 0

Answer:

Equilateral triangle will always have a perpendicular bisector that is also an angle bisector.

Step-by-step explanation:

Equilateral triangle property:

  • All sides of the equilateral triangle are equal.
  • Angle of every equilateral triangle are equal to 60°.
  • Every altitude of an equilateral triangle is also a median and a bisector.
  • Each median is also an altitude and a bisector.
  • Each bisector is also an altitude and a median.

Therefore, by equilateral triangle property;

Perpendicular bisectors are angle bisectors in an equilateral triangle Since, all sides and angles are the same in an equilateral triangle.

Also, the angle bisector of an equilateral triangle forms 90 degree angle with the opposite side and bisects that side.

MariettaO [177]3 years ago
4 0
That would be an Equilateral Triangle.

Hope this helped! :))
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Help please thank you
Ad libitum [116K]
In order for the triangle to be isosceles, we have to set two lengths of the triangle equal to each other. 

Let's take the lengths 5x-12 and x+20 and set them equal to each other. 

5x - 12 = x + 20 

Combine like terms by moving them over to their respective sides.

Subtract x from both sides of the equation. 

4x - 12 = 20 

Add 12 to both sides of the equation. 

4x = 32 

Divide both sides by 4. 

x = 8 

Check your answer by substituting. 

5x - 12 = x + 20

5(8) - 12 = 8 + 20

40 - 12 = 28 

28 = 28

Solution: x = 8 




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Answer:

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