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The area of a trapezium whose parallel sides are 77cm and 60cm and other side are 25cm and 26cm?
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The area of a trapezium whose parallel sides are 77cm and 60cm and oth...
Given a trapezium whose parallel sides are 77 cm and 60 cm and the other sides are 25 cm and 26 cm.
we have to find the area of trapezium.
AD=60 cm
BD=77 cm
AB=25 cm
DC=26 cm
EC=BC-BE=77-60=17 cm
In triangle DEC
By Heron's formula,
Answer 1644cm²
we have to find the area of trapezium.
AD=60 cm
BD=77 cm
AB=25 cm
DC=26 cm
EC=BC-BE=77-60=17 cm
In triangle DEC
By Heron's formula,
Answer 1644cm²
Community Answer
The area of a trapezium whose parallel sides are 77cm and 60cm and oth...
Introduction:
A trapezium is a quadrilateral with only one pair of parallel sides. To find the area of a trapezium, we can use the formula:
Area = (1/2) × (a + b) × h
where 'a' and 'b' are the lengths of the parallel sides, and 'h' is the height or the perpendicular distance between the parallel sides.
Given:
Parallel sides of the trapezium: 77 cm and 60 cm
Other sides of the trapezium: 25 cm and 26 cm
Step 1: Find the height of the trapezium:
To find the height, we can use the Pythagorean theorem. The height forms a right-angled triangle with the two sides of length 25 cm and 26 cm.
Using the Pythagorean theorem, we have:
Therefore, the height of the trapezium is approximately 7.14 cm.
Step 2: Calculate the area:
Using the formula for the area of a trapezium, we substitute the values we have:
Area = (1/2) × (77 cm + 60 cm) × 7.14 cm
Area = (1/2) × (137 cm) × 7.14 cm
Area ≈ 488.79 cm²
Therefore, the area of the trapezium is approximately 488.79 cm².
Conclusion:
The area of the trapezium with parallel sides measuring 77 cm and 60 cm, and other sides measuring 25 cm and 26 cm, is approximately 488.79 cm².
A trapezium is a quadrilateral with only one pair of parallel sides. To find the area of a trapezium, we can use the formula:
Area = (1/2) × (a + b) × h
where 'a' and 'b' are the lengths of the parallel sides, and 'h' is the height or the perpendicular distance between the parallel sides.
Given:
Parallel sides of the trapezium: 77 cm and 60 cm
Other sides of the trapezium: 25 cm and 26 cm
Step 1: Find the height of the trapezium:
To find the height, we can use the Pythagorean theorem. The height forms a right-angled triangle with the two sides of length 25 cm and 26 cm.
Using the Pythagorean theorem, we have:
h² = (26 cm)² - (25 cm)²
h² = 676 - 625
h² = 51
h ≈ √51
h ≈ 7.14 cm
Therefore, the height of the trapezium is approximately 7.14 cm.
Step 2: Calculate the area:
Using the formula for the area of a trapezium, we substitute the values we have:
Area = (1/2) × (77 cm + 60 cm) × 7.14 cm
Area = (1/2) × (137 cm) × 7.14 cm
Area ≈ 488.79 cm²
Therefore, the area of the trapezium is approximately 488.79 cm².
Conclusion:
The area of the trapezium with parallel sides measuring 77 cm and 60 cm, and other sides measuring 25 cm and 26 cm, is approximately 488.79 cm².
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The area of a trapezium whose parallel sides are 77cm and 60cm and other side are 25cm and 26cm?
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The area of a trapezium whose parallel sides are 77cm and 60cm and other side are 25cm and 26cm? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The area of a trapezium whose parallel sides are 77cm and 60cm and other side are 25cm and 26cm? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The area of a trapezium whose parallel sides are 77cm and 60cm and other side are 25cm and 26cm?.
The area of a trapezium whose parallel sides are 77cm and 60cm and other side are 25cm and 26cm? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The area of a trapezium whose parallel sides are 77cm and 60cm and other side are 25cm and 26cm? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The area of a trapezium whose parallel sides are 77cm and 60cm and other side are 25cm and 26cm?.
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