Download presentation

Presentation is loading. Please wait.

Published byBenedict Daniels Modified over 7 years ago

1
7.1 – Apply the Pythagorean Theorem

2
Pythagorean Theorem: leg hypotenuse a b c c 2 = a 2 + b 2 (hypotenuse) 2 = (leg) 2 + (leg) 2 If a triangle is a right triangle, then (hypotenuse) 2 = (leg) 2 + (leg) 2

3
1. Find the value of x. c 2 = a 2 + b 2 x 2 = 15 2 + 36 2 x 2 = 225 + 1296 x 2 = 1521 x = 39 H

4
1. Find the value of x. c 2 = a 2 + b 2 x 2 = 4 2 + 9 2 x 2 = 16 + 81 x 2 = 97 H

5
1. Find the value of x. c 2 = a 2 + b 2 x 2 = 6 2 + 3 2 x 2 = 36 + 9 x 2 = 45 H

6
1. Find the value of x. c 2 = a 2 + b 2 17 2 = x 2 + 8 2 289 = x 2 + 64 225 = x 2 H

7
1. Find the value of x. c 2 = a 2 + b 2 27 2 = x 2 + 9 2 729 = x 2 + 81 648 = x 2 H

8
1. Find the value of x. c 2 = a 2 + b 2 42 2 = x 2 + 36 2 1764 = x 2 + 1296 468 = x 2 H

9
2. Find the area of the isosceles triangle. c 2 = a 2 + b 2 10 2 = h 2 + 8 2 100 = h 2 + 64 36 = h 2 8 8 8 in 2 H H

10
2. Find the area of the isosceles triangle. c 2 = a 2 + b 2 12 2 = h 2 + 4 2 144 = h 2 + 16 128 = h 2 4 cm 2 H

11
2. Find the area of the isosceles triangle. c 2 = a 2 + b 2 44 2 = h 2 + 24 2 1936 = h 2 + 576 1360 = h 2 24 m 2 24 H

12
7.2 – Converse of the Pythagorean

13
Pythagorean Theorem Converse: If c 2 = a 2 + b 2, then the triangle is a right triangle a b c

14
Acute Triangle: If c 2 < a 2 + b 2, then the triangle is acute a b c

15
Obtuse Triangle: If c 2 > a 2 + b 2, then the triangle is obtuse a b c

16
For each set of numbers, determine whether the numbers represent the side lengths of a triangle. If so, is the triangle acute, right, or obtuse. SHOW WORK! c 2 = a 2 + b 2 17 2 = 8 2 + 15 2 289 = 64 + 225 289 = 289 8 + 15 > 17 8 + 17 > 15 15 + 17 > 8 Triangle: YES or NO ACUTE, RIGHT, or OBTUSE a. 8, 15, 17

17
3 + 4 > 9 b. 3, 4, 9 Triangle: YES or NO ACUTE, RIGHT, or OBTUSE 7 > 9 For each set of numbers, determine whether the numbers represent the side lengths of a triangle. If so, is the triangle acute, right, or obtuse. SHOW WORK!

18
c 2 = a 2 + b 2 196 = 100 + 121 196 221 c. Triangle: YES or NO ACUTE, RIGHT, or OBTUSE For each set of numbers, determine whether the numbers represent the side lengths of a triangle. If so, is the triangle acute, right, or obtuse. SHOW WORK! 10, 11, 14 10 + 11 > 14 10 + 14 > 11 11 + 14 > 10 14 2 = 10 2 + 11 2 <

19
c 2 = a 2 + b 2 61 = 25 + 36 61 = 61 d. For each set of numbers, determine whether the numbers represent the side lengths of a triangle. If so, is the triangle acute, right, or obtuse. SHOW WORK! Triangle: YES or NO ACUTE, RIGHT, or OBTUSE 5 + 6 > 7.8 5 + 7.8 > 6 6 + 7.8 > 5

20
c 2 = a 2 + b 2 144 = 13 + 100 144 113 e. For each set of numbers, determine whether the numbers represent the side lengths of a triangle. If so, is the triangle acute, right, or obtuse. SHOW WORK! Triangle: YES or NO ACUTE, RIGHT, or OBTUSE 3.6 + 10 > 12 3.6 + 12 > 10 10 + 12 > 3.6 >

21
c 2 = a 2 + b 2 37.21 = 18.49 + 27.04 37.21 45.53 f. 4.3, 5.2, 6.1 For each set of numbers, determine whether the numbers represent the side lengths of a triangle. If so, is the triangle acute, right, or obtuse. SHOW WORK! Triangle: YES or NO ACUTE, RIGHT, or OBTUSE 4.3 + 5.2 > 6.1 4.3 + 6.1 > 5.2 5.2 + 6.1 > 4.3 <

22
7.1 7.2 436-439 444-445 3, 5, 13-17 odd, 24, 26, 31, 39, 40 3-7 odd, 15-21 odd, 25 HW Problem 7.1 #26 Ans: c 2 = a 2 + b 2 5 2 = a 2 + 3 2 25 = a 2 + 9 16 = a 2 a HH 4 = a c 2 = a 2 + b 2 x 2 = 4 2 + 7 2 x 2 = 16 + 49 x 2 = 65

Similar presentations

© 2023 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google