Unit 4 congruent triangles homework 1 classifying triangles gina wilson


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Unit4: Congruent Triangles Hw 1: Classifying Triangles Gina Wilson (All things algebra) 2014

Answered by wiki @



Answer:

  • 12. x = 6, side = 83
  • 13. x = 18, side = 29
  • 14. x = 11, sides = 74, 74 and 37
  • 15. x = 23, sides = 95, 95 and 108

Step-by-step explanation:

11 is incomplete, can't solve

12

The triangle is equilateral, so all sides are equal, using one pair to find x:

  • 13x + 5 = 17x - 19
  • 17x - 13x = 5 + 19
  • 4x = 24
  • x = 6

Each side is:

  • 13*6 + 5 = 78 + 5 = 83

13.

Sides are equal as triangle is equilateral

  • QR = 2x - 7
  • RS = 5x - 61
  • QS = x + 11

Finding x by comparing two sides

  • 2x - 7 = 5x - 61
  • 5x - 2x = 61 - 7
  • 3x = 54
  • x = 18

Sides are equal

  • 18 + 11 = 29

14.

Equal sides of isosceles triangle:

  • CD = DE
  • 9x - 25 = 6x + 8
  • 9x - 6x = 8 + 25
  • 3x = 33
  • x = 11

Sides are

  • CD = DE = 9*11 - 25 = 99 - 25 = 74
  • CE = 10*11 - 73 = 110 - 73 = 37

15.

Equal sides of isosceles triangle WXY, WX = WY

  • WX = 4x + 3
  • WY = 7x - 66
  • XY = 5x - 7
  • 4x + 3 = 7x - 66
  • 7x - 4x = 3 + 66
  • 3x = 69
  • x = 23

Sides are:

  • WX=WY = 4*23 + 3 = 95
  • XY = 5*23 - 7 = 108

Do you know the better answer?

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