Question

BIG IDEAS MATH ANTHONY . > Chapter 9: Chapter 9 Test > Chapter Test 9 Classify a triangle with each set of side lengths as acute, right or obtuse. Acute Right Obtuse 1 7,7,10 .: 6,8,10 1: 7,9,13 3, 4, 4.5 34

Answer 1

Given Data 7,9,13 COSA 67 7,7, 10 Applying cosine rule COSA= 62+2 a 2 7 10-15 B G abc COSB= 0.7 2x7x10 190 B A = 44.400 C COSB = 2+0 2 62 2 dac 0.71 axlox7 B = 44-419 she 999 C At Btc = 180 44.41+ 44.417C = 180 (= 91.18° 9° alya, Tanauso It is a oftuse angled Tc: Triangle A 6 10 6, 8, 10 AB + B = AC² 828²-10 B 8 9 . It is a right angled triangle

7,9,13 0=7,6=9,c=13 C63A = 624cha 9²13²72 0.853 260 2x9x13 A= 30.70 COSB = c²ta ²62 $13+7292 0-75 200 2x113 B-41-170/ C = 180-(A+B) = 1804 30.7+41.17). [c=108.13) > 90 @ 1. It is in a obtuse angled Triangle) . Pis 3, 4, 4.5 a-3, 6-4, c=4.5 CASA = 6 2 2 2 >4 +(4.5) - 3 266 20.75 8x4X 4.5 A= 40.8 <90 92 COSB= c²ta² 6² (4.5) ² (3) ² - (472 = 0.49 २८ 2x344.5 B= 60.61

" At B+ c = 180 40.8+ 60.614 co 180 C = 180- 101.41 (+78.59 <90 Snce all the angles are Less than go It is a Acute angled Triangle (Floist as 7 131 (9+) Acute Right 3, 4,4.5 6,8,10 7,9,13 obtuse 7, 7, 10 and