# 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

Asked by wiki @ in **Mathematics** viewed by 2950 People

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**

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