Explore Westonci.ca, the leading Q&A site where experts provide accurate and helpful answers to all your questions. Our platform provides a seamless experience for finding reliable answers from a knowledgeable network of professionals. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.
Sagot :
To find the perimeter of the triangle whose sides are given as 1 meter 60 centimeters, 1 meter 80 centimeters, and 2 meters, we'll first need to convert all measurements to centimeters and then sum up the lengths of the sides.
1. Step 1: Conversion of lengths to centimeters
- The first side is 1 meter 60 centimeters. Since 1 meter equals 100 centimeters, we can convert this:
[tex]\[ \text{Side 1} = 1 \, \text{meter} + 60 \, \text{centimeters} = 100 \, \text{cm} + 60 \, \text{cm} = 160 \, \text{cm} \][/tex]
- The second side is 1 meter 80 centimeters. Converting this:
[tex]\[ \text{Side 2} = 1 \, \text{meter} + 80 \, \text{centimeters} = 100 \, \text{cm} + 80 \, \text{cm} = 180 \, \text{cm} \][/tex]
- The third side is 2 meters. Converting this:
[tex]\[ \text{Side 3} = 2 \, \text{meters} = 2 \times 100 \, \text{cm} = 200 \, \text{cm} \][/tex]
2. Step 2: Summing the lengths to find the perimeter
- Now, we add up these three sides to find the perimeter of the triangle:
[tex]\[ \text{Perimeter} = 160 \, \text{cm} + 180 \, \text{cm} + 200 \, \text{cm} = 540 \, \text{cm} \][/tex]
Thus, the perimeter of the triangle is [tex]\( 540 \)[/tex] centimeters.
Therefore, the correct answer is:
[tex]\[ \boxed{540 \, \text{cm}} \][/tex]
1. Step 1: Conversion of lengths to centimeters
- The first side is 1 meter 60 centimeters. Since 1 meter equals 100 centimeters, we can convert this:
[tex]\[ \text{Side 1} = 1 \, \text{meter} + 60 \, \text{centimeters} = 100 \, \text{cm} + 60 \, \text{cm} = 160 \, \text{cm} \][/tex]
- The second side is 1 meter 80 centimeters. Converting this:
[tex]\[ \text{Side 2} = 1 \, \text{meter} + 80 \, \text{centimeters} = 100 \, \text{cm} + 80 \, \text{cm} = 180 \, \text{cm} \][/tex]
- The third side is 2 meters. Converting this:
[tex]\[ \text{Side 3} = 2 \, \text{meters} = 2 \times 100 \, \text{cm} = 200 \, \text{cm} \][/tex]
2. Step 2: Summing the lengths to find the perimeter
- Now, we add up these three sides to find the perimeter of the triangle:
[tex]\[ \text{Perimeter} = 160 \, \text{cm} + 180 \, \text{cm} + 200 \, \text{cm} = 540 \, \text{cm} \][/tex]
Thus, the perimeter of the triangle is [tex]\( 540 \)[/tex] centimeters.
Therefore, the correct answer is:
[tex]\[ \boxed{540 \, \text{cm}} \][/tex]
We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.