2. Find the perimeter and area: 2 ft 7 ft 3 ft

4. Math 7 MIT Grace Wilday Junior High School “Raise the Praise”

5.  TLWBAT to use the Pythagorean Theorem to find the length of a side of a right triangle by finding 4 out of 5 missing lengths.  TLWBAT practice and prepare for the NJ Ask open response by successfully scoring a 2 or better on a sample open response on area and perimeter.  http://www.nbclearn.com/nfl/cuecard/51220 http://www.nbclearn.com/nfl/cuecard/51220  NJCCCS 4.2.7.E.2  Common Core 7.G.B.6

6. Hypotenuse Leg In a right triangle, the two sides that form the right angle are called legs. The side opposite the right angle is called the hypotenuse. One of the first people to recognize the relationship between the sides of a right triangle was the Greek mathematician Pythagoras. This special relationship is called the Pythagorean Theorem.

7. You can use the Pythagorean Theorem to find the length of any side of a right triangle.

8. Use the Pythagorean Theorem to find the missing measure. Additional Example 1A: Calculating the Length of a Side of a Right Triangle 12 cm 16 cm a 2 + b 2 = c 2 c 12 2 + 16 2 = c 2 144 + 256 = c 2 400 = c 2 The length of the hypotenuse is 20 cm. Use the Pythagorean Theorem. Substitute for a and b. Evaluate the powers. Add. Take the square root of both sides. 20 = c √ 400 = √ c 2

9. Additional Example 1B: Calculating the Length of a Missing Side of a Right Triangle Use the Pythagorean Theorem to find the missing measure. 5 cm b a 2 + b 2 = c 2 13 cm 5 2 + b 2 = 13 2 25 + b 2 = 169 b 2 = 144 The length of the missing leg is 12 cm. Use the Pythagorean Theorem. Substitute for a and c. Evaluate the powers. Take the square root of both sides. b = 12 –25 Subtract 25 from each side. √ b 2 = √ 144

10. Use the Pythagorean Theorem to find the missing measure. 11 cm 15 cm a 2 + b 2 = c 2 c 11 2 + 15 2 = c 2 121 + 225 = c 2 346 = c 2 The length of the hypotenuse is about 18.6 cm. Use the Pythagorean Theorem. Substitute for a and b. Evaluate the powers. Add. Take the square root of both sides. 18.6  c Check It Out: Example 1A √ 346 = √ c 2

11. Use the Pythagorean Theorem to find the missing measure. 3 cm b a 2 + b 2 = c 2 5 cm 3 2 + b 2 = 5 2 9 + b 2 = 25 b 2 = 16 The length of the missing leg is 4 cm. Use the Pythagorean Theorem. Substitute for a and c. Evaluate the powers. Take the square root of both sides. b = 4 –9 Subtract 9 from each side. Check It Out: Example 1B √ b 2 = √ 16

12. https://www.khanacademy.org/math/geo metry/right_triangles_topic/pyth_theor/e/p ythagorean_theorem_1 After Open Response:

13. Use the Pythagorean Theorem to identify the missing measure. A. 50 ft B. 60 ft C. 70 ft D. 80 ft CLOSURE