Find the area of triangle ABC where C 90 a 3 and c 9 a45

Find the area of triangle ABC, where C = 90°, a = 3 and c = 9. a)45 27 c) 9/2 d) 06 e) f) None of these. 9vIO

Solution

since its a right angled triangle

b = sqrt ( c^2 - a^2 )

b = sqrt ( 81 - 9 )

b = sqrt 72

= 6 sqrt 2

area of right angled triangle is 1/2 * base * height

1/2 * 3 * 6 sqrt 2

= 9 sqrt 2

option c is correct