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melisa1 [442]
4 years ago
10

Does anybody know how to solve this? I really need help.

Mathematics
2 answers:
gregori [183]4 years ago
8 0
I got 83 as the perimeter
Kruka [31]4 years ago
8 0

Answer:

  83

Step-by-step explanation:

When the altitude of a triangle is the perpendicular bisector of the base, that triangle is isosceles. That means QM = SM, which is a relation that lets us find the value of x.

  QM = SM

  3x +10 = 5x -2

  12 = 2x . . . . add 2-3x to both sides

  6 = x

The sum of the side lengths is ...

  P = QM +SM +QS

  P = (3x+10) +(5x -2) +(4x +3) = 12x +11

For x=6, this is ...

  P = 12(6) +11 = 72 +11 = 83

The perimeter of the triangle is 83 units.

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