Topic: Right Triangles



Topic: Right Triangles Name _______________ Date ________

NYS Standard

7.G.5. : To identify the right angle, hypotenuse, and legs of a right triangle

7.N.15: Recognize square roots and state the value of square root of perfect squares (up to 225)

7.N.16: Determine the square root of a non-perfect square using a calculator.

Objective:

SWBAT:

• recognize square roots and state the value of square root of perfect squares (up to 225)

• determine the square root of a non-perfect square using a calculator.

• identify the right angle, hypotenuse, and legs of a right triangle.

DO NOW

Find the side length of the given square.

1. 2. 3.

Side length: _____ Side length: _____ Side length: _____

4. 5. 6.

Side length: _____ Side length: _____ Side length: _____

What is a RIGHT TRIANGLE?

Now let’s label the hypotenuse in the triangles below.

Discover the Pythagorean Theorem

The Problem: How do we find the length of a missing side of a right triangle?

M

Example: Michelle and Emily are at opposite ends

of a rectangular field which is 6 yards by 8 yards.

Michelle is at point M and Emily is at point E. How

far apart, on the diagonal, are Emily and Michelle? P E

Terminology:

Identify the legs and the hypotenuse: a c

b

The activity:

Go to the sheet with the various triangles drawn. For each triangle, write the length of each leg and the length of the hypotenuse. Use the cut out squares to help you find the length of the hypotenuse.

Complete the table below:

|Triangle |Length of Leg (a) |Length of leg (b) |Length of Hypotenuse (c) |

|1 | | | |

| |Area of |Area of |Area of |

|2 | | | |

| |Area of |Area of |Area of |

|3 | | | |

| |Area of |Area of |Area of |

|4 | | | |

| |Area of |Area of |Area of |

|5 | | | |

| |Area of |Area of |Area of |

|6 | | | |

| |Area of |Area of |Area of |

[pic]

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Area = 100m2

Area = 36m2

Area = 64m2

Area =

70 m2

Area = 90m2

Area =

40 m2

What is the difference between the area of the squares for #’s 1-3 and the area of the squares for #’s 4-6?

How do you know which side is the hypotenuse?

Now Use the square cut outs on the grid below to construct a Right Triangle.

What is the relationship of the squares that form the each triangle?

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