University:
Felician University
Course:
MATH-231 | Geometry I
Academic year:

2019
Views:

233

Pages:

2
Author:

Clint W.

**Pythagorean** **Find the missing side of each triangle. Round your answers to the nearest tenth if necessary.** 1) x /| / | 9 / | 12 / | /____| x = 15 cm 9² + 12² = x² 81 + 144 = 225 x² = 225 x = √225 = 15 2) 10 in /| / | x / | 6 in / | /____| x = 8 in 8² + x² = 10² 64 + x² = 100 x² = 36 x = √36 = 6 **Find the missing side of each right triangle. Side c is the hypotenuse. Sides a and b are the legs. Round your answers to the nearest tenth if necessary.** 3) c /| / | 4 | | 3 / | /___| c = 5 yd PYTHAGOREAN TRIPLE OR... 4² + 3² = c² 16 + 9 = c² c² = 25 c = √25 = 5 4) a = 5 m, c = 13 m 5² + b² = 13² 25 + b² = 169 b² = 144 b = √144 = 12 **State if each triangle is a right triangle.** 5) 10 in /| / | 6 | | 8 in / | /___| Longest side: 10 in CHECK: 10² = 6² + 8² 100 = 100 YES, RIGHT TRIANGLE 6) 10 in /| / | 7 | | 8 in / | /___| Longest side: 10 in CHECK: 10² = 7² + 8² 100 < 113 NOT A RIGHT TRIANGLE, AN ACUTE TRIANGLE Check Longest: 13² > 5² + 10² 169 > 125 Not a right triangle, but an obtuse triangle 8) 5 cm, 12 cm, 13 cm Check Longest: 13² = 5² + 12² 169 = 169 Yes, a right triangle **State if each triangle is acute, obtuse, or right.** 9) 10 m /| / | 6 | | 8 m / | /___| 10² = 6² + 8² 100 = 100 Right Triangle 10) 14 m /| / | 5 | | 12 m / | /___| 14² > 5² + 12² 196 > 169 Obtuse Triangle **State if the three sides lengths form an acute, obtuse, or right triangle.** 11) 2 cm, 12 cm, 13 cm 13² > 2² + 12² 169 > 148 Obtuse 12) 4 m, 12 m, 15 m 15² > 4² + 12² 225 > 160 Obtuse **Find the area of each triangle. Round intermediate values to the nearest tenth. Use the rounded values to calculate the next value. Round your final answer to the nearest tenth.** 13) 12 /| / | x | 5 / | /____| x² + 5² = 12² x² + 25 = 144 x² = 119 x = √119 ≈ 10.9 A = 1/2 * 10.9 * 5 A ≈ 27.3 u² 14) 12 /| / | x | 5 / | /____| 5² + x² = 12² 25 + x² = 144 x² = 119 x = √119 ≈ 10.9 A = 1/2 * 10.9 * 5 A ≈ 27.3 u²