Unit 4 congruent triangles homework 1 classifying triangles gina wilson
Asked by maham237 @ in Mathematics viewed by 855 People
Answered by maham237 @
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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