Question

What is the area of this triangle? (look at picture)

Answer 1

Explanation:

for x:

apply the sine rule. so

sinA/a = sinB/b

sin 90/10 = sin 60/ x

(cross multiply)

sin90 x = sin 60 × 10

x= (sin60×10)/sin90

x=8.66

Answer 2

sin = opposite / hypotenuse

`\sin(60) = (x)/(10) \\ \\ ( √(3) )/(2) = (x)/(10) \\ \\ 2x = 10 √(3) \\ \\ x = (10 √(3) )/(2) \\ \\ x = 5 √(3)`