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]
-----------------------
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?
................
................
In order to avoid copyright disputes, this page is only a partial summary.
To fulfill the demand for quickly locating and searching documents.
It is intelligent file search solution for home and business.
Related searches
- similar right triangles calculator
- similar right triangles theorem
- formulas for right triangles sides
- solving right triangles pdf
- solving right triangles answer key
- solving right triangles worksheet
- solving right triangles practice
- solving right triangles quiz
- similar right triangles geometric mean
- similar right triangles ratio
- similar right triangles formula
- similar right triangles problems