10.2 Special Right TrianglesLearning Objective: To find relationships among side lengths in 45-45-90

and 30-60-90 triangles and to find distances in real world problems involving special right triangles, squares, and equilateral triangles.

Warm-up (IN)

Notes

Learning Objective: To find relationships among side lengths in 45-45-90 and 30-60-90 triangles and to find distances in real world problems involving special right triangles,

squares, and equilateral triangles.

EX 1 – An official softball diamond is a 60 ft by 60 ft square. Find the distance a catcher must throw to get a runner out at 2nd base.

x

260 260 2x

2x 2602x 2602x 260 feet 6.84

Learning Objective: To find relationships among side lengths in 45-45-90 and 30-60-90 triangles and to find distances in real world problems involving special right triangles,

squares, and equilateral triangles.

45 45 90

45

45 2x

x

x30

60

30 60 90

60 60

30

8 8

4

2b24 28482b

34b

xx2

3x

Learning Objective: To find relationships among side lengths in 45-45-90 and 30-60-90 triangles and to find distances in real world problems involving special right triangles,

squares, and equilateral triangles.

EX 2 – A park has a wading pool in the shape of a regular hexagon. The length of a diagonal is 10 m. Find the distance from one side of the pool to the other.

10

2

5

2

35 5

2

35 2 35 meters 66.8

Learning Objective: To find relationships among side lengths in 45-45-90 and 30-60-90 triangles and to find distances in real world problems involving special right triangles,

squares, and equilateral triangles.

EX 3 – Find the missing side lengths

3

23

3

HW – tbd

Out – Explain, in words, the relationships of the sides of 30-60-90 and 45-45-90 triangles.

Summary – I understand..