9-2 AREA OF A TRIANGLE!!

The formula for area of a right triangle is Area = 1/2(base)(height)

The formula for area of a non-right triangle is Area = (adj. leg)(adj. leg)sin(angle between)

Example 1: In triangle ABC, a=2cm, b=11cm, and C=44° find the area.

Ok boys and girls, here you would use the non-right triangle formula because it's not right its not 90° not making it wrong or left its just special.

Area = 2cm*11cm*sin44°

Area=15.282cm²

Example 2: In triangle ABC, a=20miles, b=3miles, and C= 90°, find the area.

Ok this is a HUGE triangle, but here you would use the right triangle formula because it has a 90° angle.

Area= 1/2*base*height

Area = 1/2(20miles)(3miles)

Area = 30miles²

Example 3: In triangle QRS, r=5 milimeters, s=2.5 milimeters, and Q= 120°

Ok this is a baby one, but here you would use the non-right triangle formula because it doesn’t have a 90° angle

Area = 5 milimeters*2.5 milimeters *sin(120°)

Area = 10.825 milimeters²