The area of the shaded triangles in the fractal shown form a geometric sequence. The area of the largest triangle (not shaded) is 1 square unit. Find the areas of these shaded triangles.

Orange: 1/4 square units

Blue: square units

Green: square units

If the pattern continues indefinitely, does the sum of the areas converge?

The correct answers are Blue: square units ; Green:  square units; and Yes the sum converges.

Step-by-step explanation:

Area of the largest triangle is 1 square unit.

The area of the triangle which are colored and follow a geometric sequence with the common ratio being .

Area of the not shaded triangle is given by 1 square unit.

Area of the orange triangle is given by 1 × = square units.

Area of the blue triangle is given by × = square units.

Area of the green triangle is given by × = square units.

If the pattern continues definitely then it becomes an infinite geometric progression series with common ratio . And thus the sum of area coverges as the ratio lies between -1 and 1.

a. 74 degrees

step-by-step explanation:

because the lines through the side and the box in the corners shows that these are congruent triangles and since they are mirrored the 37 degrees is also mirrored so the answer is 37 * 2 which is 74.

step-by-step explanation: