Question

Consider triangle ABC in the diagram below: a. Is this triangle acute, right, or obtuse? b. Find the measure of angle B. c. Find the area of the triangle.

Answer 1

The triangle will be obtuse because point A has a degree higher than 90. Since a triangle must have three degrees that all add up to 180, add the two degrees and subtract the answer from 180. 118+27=145 then subtract 180-145=35. The area of the triangle is A=1/2B*H which would be 19/2=9.5*8=76cm.
Obtuse triangle, B=35 degrees, area=76cm. Hope this helped!