Poll Asked: September 12, 20212021-09-12T19:31:28+05:30 2021-09-12T19:31:28+05:30Category: Quantitative Aptitude - Arithmetic Ability What is the area of an obtuse angled triangle given below with two sides are 8 and 12 and the angle included between two sides is 150 deg? Anonymous Poll ResultsPlease login to vote and see the results. Select one answer 48 sq units 24 sq units 12 sq units 6 sq units Share Facebook 1 Answer Voted Recent Mighty Ashish Guru 2021-09-12T19:32:25+05:30Added an answer on September 12, 2021 at 7:32 pm Explanation: We know that, The area of a triangle with two sides given and included angle A = 1/2 x product of sides x Sin(angle) Here the two sides are 8 & 12 Angle = 150 Area = 1/2 x 8 x 12 x sin150 Sin(150) = sin(90+60) = cos(60) = 1/2 A = 48 x 1/2 = 24 Area of the given triangle = 24 sq units. 0 Share Share Share on Facebook Share on Twitter Share on WhatsApp Share on LinkedIn Answer this question & earn 50 pointsSign In with FacebookSign In with GoogleSign In with Twitteror use Username or email* Password* Remember Me! Forgot Password?

Explanation:

We know that,

The area of a triangle with two sides given and included angle

A = 1/2 x product of sides x Sin(angle)

Here the two sides are 8 & 12

Angle = 150

Area = 1/2 x 8 x 12 x sin150

Sin(150) = sin(90+60) = cos(60) = 1/2

A = 48 x 1/2 = 24

Area of the given triangle = 24 sq units.