Suppose a 2 and c 7 Find b A B Solutiontriangle is righ

Suppose a = 2 and c = 7. Find: b = A = B =

Solution

triangle is rightangled according to given diagram

a =2 ,c=7 ,C=90^o

by pythogorus theorem

c²=a²+b²

7²=2²+b²

49=4+b²

b=45

by law of sines a_/sinA =b_/sinB =c_/sinC

2_/sinA =45_/sinB =7_/sin90^o

2_/sinA =45_/sinB =7

sinA=2_/7 ,sinB=45_/7

A=16.6^o,B=73.4^o