special right triangles 2

49
Two Special Right Triangles Practice Problems

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Page 1: Special Right Triangles 2

Two Special Right Triangles

Practice Problems

Page 2: Special Right Triangles 2

Find the two missing sides for the triangles

YYXX

9945°

45°

1.

Page 3: Special Right Triangles 2

Find the two missing sides for the triangles

YY

XX

8282

45°

45°

2.

Page 4: Special Right Triangles 2

Find the two missing sides for the triangles

YY

XX 5252

45°

45°

3.

Page 5: Special Right Triangles 2

Find the two missing sides for the triangles4.

Page 6: Special Right Triangles 2

Find the two missing sides for the triangles

YY

XX

112112 45

°

45°

5.

Page 7: Special Right Triangles 2

Find the two missing sides for the triangles

YY XX

44

30°

6.

Page 8: Special Right Triangles 2

Find the two missing sides for the triangles

YY

XX99

30°

7.

Page 9: Special Right Triangles 2

Find the two missing sides for the triangles

YY

XX

55

30°

8.

Page 10: Special Right Triangles 2

Find the two missing sides for the triangles

YY

XX

141430°

9.

Page 11: Special Right Triangles 2

Find the two missing sides for the triangles10.

Page 12: Special Right Triangles 2

Find the two missing sides for the triangles

YYXX

191945°

45°

11.

Page 13: Special Right Triangles 2

Find the two missing sides for the triangles

YYXX

113113

30°

12.

Page 14: Special Right Triangles 2

Find the two missing sides for the triangles13.

Page 15: Special Right Triangles 2

Find the two missing sides for the triangles

YY

XX

1010

60°

14.

Page 16: Special Right Triangles 2

Find the two missing sides for the triangles

YY

XX

55

45°

45°

15.

Page 17: Special Right Triangles 2

Find the two missing sides for the triangles16.

Page 18: Special Right Triangles 2

Find the two missing sides for the triangles

YYXX

3 23 2

45°

45°17.

Page 19: Special Right Triangles 2

Find the two missing sides for the triangles18.

Page 20: Special Right Triangles 2

Find the two missing sides for the triangles19.

Page 21: Special Right Triangles 2

Find the two missing sides for the triangles

YY

XX

1111

60°

20.

Page 22: Special Right Triangles 2

Find the two missing sides for the triangles

YY

XX1010

45°

45°

21.

Page 23: Special Right Triangles 2

Find the two missing sides for the triangles

YY

XX 1818

30°

22.

Page 24: Special Right Triangles 2

ANSWERS

Page 25: Special Right Triangles 2

Find the two missing sides for the triangles

YYXX

99

999292

45°

45°

1.

Page 26: Special Right Triangles 2

Find the two missing sides for the triangles

YY

XX

8282

88

88

45°

45°

2.

Page 27: Special Right Triangles 2

Find the two missing sides for the triangles

YY

XX 52525252

1010

45°

45°

3.

Page 28: Special Right Triangles 2

Find the two missing sides for the triangles

2222 112112

4.

Page 29: Special Right Triangles 2

Find the two missing sides for the triangles

YY

XX

112112

1111

1111

45°

45°

5.

Page 30: Special Right Triangles 2

Find the two missing sides for the triangles

YY XX

44

434388 30°

6.

Page 31: Special Right Triangles 2

Find the two missing sides for the triangles

YY

XX99

9393

1818

30°

7.

Page 32: Special Right Triangles 2

Find the two missing sides for the triangles

YY

XX

551010

535330°

8.

Page 33: Special Right Triangles 2

Find the two missing sides for the triangles

YY

XX

14147373

77

30°

9.

Page 34: Special Right Triangles 2

Find the two missing sides for the triangles

103103

2020

10.

Page 35: Special Right Triangles 2

Find the two missing sides for the triangles

YYXX

1919

192

192

1919

45°

45°

11.

Page 36: Special Right Triangles 2

Find the two missing sides for the triangles

YYXX

113113

22221111

30°

12.

Page 37: Special Right Triangles 2

Find the two missing sides for the triangles

62626262

13.

Page 38: Special Right Triangles 2

Find the two missing sides for the triangles

YY

XX

10105353

5560°

14.

Page 39: Special Right Triangles 2

Find the two missing sides for the triangles

YY

XX

551010

55

45°

45°

15.

Page 40: Special Right Triangles 2

Find the two missing sides for the triangles

77

7373

16.

Page 41: Special Right Triangles 2

Find the two missing sides for the triangles

YYXX

3 23 2

3232 6645°

45°17.

Page 42: Special Right Triangles 2

Find the two missing sides for the triangles

55

1010

18.

Page 43: Special Right Triangles 2

Find the two missing sides for the triangles

88

8282

19.

Page 44: Special Right Triangles 2

Find the two missing sides for the triangles

YY

XX

11115.535.53

5.55.560°

20.

Page 45: Special Right Triangles 2

Find the two missing sides for the triangles

YY

XX1010

5252

5252

45°

45°

21.

Page 46: Special Right Triangles 2

Find the two missing sides for the triangles

YY

XX 1818

9393

9930°

22.

Page 47: Special Right Triangles 2
Page 48: Special Right Triangles 2

Find x, y and the area of the equilateral triangle.

99

9393

Area =

813

Area =

813

Page 49: Special Right Triangles 2

Find the length, the perimeter, and the area of the rectangle.

103103

Perimeter =

20+203

Perimeter =

20+203

Area =

1003

Area =

1003