(a) Determine the area (in square millimeters) and perimeter (in millimeters) of the acute scalene triangle. 21 mm 27 mm 18 mm 14 mm An acute scalene triangle with four labeled sides is shown. The bottom side of the triangle is horizontal and is the longest side. A vertical dashed line extends down from the top vertex to the bottom side and forms a right angle. The left side is labeled 18 mm, the right side is labeled 21 mm, the bottom side is labeled 27 mm, and the vertical dashed line is labeled 14 mm. area mm2 perimeter mm (b) Determine the area (in square millimeters) and perimeter (in millimeters) of the obtuse scalene triangle. 38 mm 29 mm 9 mm 12 mm 8 mm An obtuse scalene triangle is shown. There are two dashed lines, five labeled sides, and one right angle. The bottom side of the triangle is horizontal and is the second largest side. A vertical dashed line extends down from the top left vertex to a point outside of the triangle in line with the bottom side. A horizontal dashed line extends left from the bottom left vertex to the vertical dashed line where a right angle is formed. The vertical dashed line is labeled 9 mm. The horizontal dashed line is labeled 8 mm. The left side of the triangle is labeled 12 mm. The right side of the triangle is labeled 38 mm. The bottom side of the triangle is labeled 29 mm. area mm2 perimeter mm (c) Determine the area (in square centimeters) and perimeter (in centimeters) of the equilateral triangle. (Round your area to one decimal place.) 8 cm An equilateral triangle is shown. The bottom side is labeled 8 cm. area cm2 perimeter cm (d) Determine the area (in square centimeters) and perimeter (in centimeters) of the circle. (Round your answers to one decimal place.) 16 cm A circle is shown. A dashed line extends across the center of the circle from the left edge to the right edge. The dashed line is labeled 16 cm. area cm2 perimeter cm (e) Determine the area (in square centimeters) and perimeter (in centimeters) of the parallelogram. 12 cm 18 cm 9 cm A parallelogram is shown. There is one dashed line, three labeled sides, and one right angle. The vertical sides of the parallelogram appear longer than the other two sides. A horizontal dashed line extends across the parallelogram halfway between the top and bottom vertices. A right angle is formed with the dashed line and right side. The top side is labeled 12 cm. The right side is labeled 18 cm. The horizontal dashed line is labeled 9 cm. area cm2 perimeter cm (f) Determine the area (in square centimeters) and perimeter (in centimeters) of the trapezoid. (Round your area to one decimal place.) 8.2 cm 15.7 cm 5.5 cm 6.4 cm 4.7 cm A trapezoid is shown. There is one dashed line, five labeled sides, and one right angle. The top and bottom sides are parallel and horizontal. A vertical dashed line extends down from the left side of the top side to the bottom side and forms a right angle. The left side is labeled 5.5 cm. The top side is labeled 6.4 cm. The right side is labeled 8.2 cm. The bottom side is labeled 15.7 cm. The vertical dashed line is labeled 4.7 cm. area cm2 perimeter cm

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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(a) Determine the area (in square millimeters) and perimeter (in millimeters) of the acute scalene triangle. 21 mm 27 mm 18 mm 14 mm An acute scalene triangle with four labeled sides is shown. The bottom side of the triangle is horizontal and is the longest side. A vertical dashed line extends down from the top vertex to the bottom side and forms a right angle. The left side is labeled 18 mm, the right side is labeled 21 mm, the bottom side is labeled 27 mm, and the vertical dashed line is labeled 14 mm. area mm2 perimeter mm (b) Determine the area (in square millimeters) and perimeter (in millimeters) of the obtuse scalene triangle. 38 mm 29 mm 9 mm 12 mm 8 mm An obtuse scalene triangle is shown. There are two dashed lines, five labeled sides, and one right angle. The bottom side of the triangle is horizontal and is the second largest side. A vertical dashed line extends down from the top left vertex to a point outside of the triangle in line with the bottom side. A horizontal dashed line extends left from the bottom left vertex to the vertical dashed line where a right angle is formed. The vertical dashed line is labeled 9 mm. The horizontal dashed line is labeled 8 mm. The left side of the triangle is labeled 12 mm. The right side of the triangle is labeled 38 mm. The bottom side of the triangle is labeled 29 mm. area mm2 perimeter mm (c) Determine the area (in square centimeters) and perimeter (in centimeters) of the equilateral triangle. (Round your area to one decimal place.) 8 cm An equilateral triangle is shown. The bottom side is labeled 8 cm. area cm2 perimeter cm (d) Determine the area (in square centimeters) and perimeter (in centimeters) of the circle. (Round your answers to one decimal place.) 16 cm A circle is shown. A dashed line extends across the center of the circle from the left edge to the right edge. The dashed line is labeled 16 cm. area cm2 perimeter cm (e) Determine the area (in square centimeters) and perimeter (in centimeters) of the parallelogram. 12 cm 18 cm 9 cm A parallelogram is shown. There is one dashed line, three labeled sides, and one right angle. The vertical sides of the parallelogram appear longer than the other two sides. A horizontal dashed line extends across the parallelogram halfway between the top and bottom vertices. A right angle is formed with the dashed line and right side. The top side is labeled 12 cm. The right side is labeled 18 cm. The horizontal dashed line is labeled 9 cm. area cm2 perimeter cm (f) Determine the area (in square centimeters) and perimeter (in centimeters) of the trapezoid. (Round your area to one decimal place.) 8.2 cm 15.7 cm 5.5 cm 6.4 cm 4.7 cm A trapezoid is shown. There is one dashed line, five labeled sides, and one right angle. The top and bottom sides are parallel and horizontal. A vertical dashed line extends down from the left side of the top side to the bottom side and forms a right angle. The left side is labeled 5.5 cm. The top side is labeled 6.4 cm. The right side is labeled 8.2 cm. The bottom side is labeled 15.7 cm. The vertical dashed line is labeled 4.7 cm. area cm2 perimeter cm
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