Question

ab
In AABC if SinASinB =
then C =​

Answer 1

Answer:

Given, sinAsinB=

c

2

ab

⇒c

2

=

sinAsinB

ab

=(

sinA

a

)(

sinB

b

)

⇒c

2

=(

sinC

c

)

2

(∵

sinA

a

=

sinB

b

=

sinC

c

)

⇒sin

2

C=1

⇒C=90

Hence, ΔABC is a right angled triangle