Question

(GEOMETRY)Lian is making a banner for the school gym. She cut three pieces of fabric into congruent isosceles triangles, as shown.
Trigonometric area formula: Area = 1/2absin(c)

To the nearest square inch, how much fabric will she use to make all three triangles?

139 square inches

172 square inches

417 square inches

515 square inches

Answer 1

It is seen in the figure given that there are three triangles with sides equal to a = 17 inches, b = 17 inches, and c = 20.5. Our angle c is the angle opposite side c and that is 74°. Using the equation given in the question, 
                         A of triangle = ((17 in)(17 in)(sin 74°))(1/2)
                                            = 138.9 in²
Then, we multiply this area by 3 since there are 3 triangles. 
                          total area = (138.9 in²)(3) = 416.7 in²
The area of the figure is most approximately equal to 417 in².

Answer 2

Answer:

c) 417 square inches

Step-by-step explanation: