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triangle ABC is isosceles triangle with AB=AC=7.5cm and BC=9cm.The height AD from A to BC, is 6 cm.Find the area of triangle ABC. What will be the height from c to AB I.e.,CE
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triangle ABC is isosceles triangle with AB=AC=7.5cm and BC=9cm.The hei...
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triangle ABC is isosceles triangle with AB=AC=7.5cm and BC=9cm.The hei...
Given information:
- Triangle ABC is an isosceles triangle with AB = AC = 7.5 cm and BC = 9 cm.
- The height AD from A to BC is 6 cm.
To find:
The area of triangle ABC and the height CE from C to AB.
Solution:
Step 1: Calculating the area of triangle ABC
To find the area of triangle ABC, we can use the formula: Area = (base * height) / 2.
In this case, the base of the triangle is BC = 9 cm and the height is AD = 6 cm.
Using the formula, we can calculate the area of triangle ABC as follows:
Area = (9 * 6) / 2
= 54 / 2
= 27 square cm
Therefore, the area of triangle ABC is 27 square cm.
Step 2: Calculating the height CE from C to AB
To find the height CE from C to AB, we can use the fact that in an isosceles triangle, the height is also the perpendicular bisector of the base.
Since triangle ABC is isosceles with AB = AC, the height AD is also the perpendicular bisector of BC.
Hence, the height CE from C to AB will be equal to the height AD.
Therefore, the height CE from C to AB is 6 cm.
Conclusion:
- The area of triangle ABC is 27 square cm.
- The height CE from C to AB is 6 cm.
- Triangle ABC is an isosceles triangle with AB = AC = 7.5 cm and BC = 9 cm.
- The height AD from A to BC is 6 cm.
To find:
The area of triangle ABC and the height CE from C to AB.
Solution:
Step 1: Calculating the area of triangle ABC
To find the area of triangle ABC, we can use the formula: Area = (base * height) / 2.
In this case, the base of the triangle is BC = 9 cm and the height is AD = 6 cm.
Using the formula, we can calculate the area of triangle ABC as follows:
Area = (9 * 6) / 2
= 54 / 2
= 27 square cm
Therefore, the area of triangle ABC is 27 square cm.
Step 2: Calculating the height CE from C to AB
To find the height CE from C to AB, we can use the fact that in an isosceles triangle, the height is also the perpendicular bisector of the base.
Since triangle ABC is isosceles with AB = AC, the height AD is also the perpendicular bisector of BC.
Hence, the height CE from C to AB will be equal to the height AD.
Therefore, the height CE from C to AB is 6 cm.
Conclusion:
- The area of triangle ABC is 27 square cm.
- The height CE from C to AB is 6 cm.
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triangle ABC is isosceles triangle with AB=AC=7.5cm and BC=9cm.The height AD from A to BC, is 6 cm.Find the area of triangle ABC. What will be the height from c to AB I.e.,CE
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triangle ABC is isosceles triangle with AB=AC=7.5cm and BC=9cm.The height AD from A to BC, is 6 cm.Find the area of triangle ABC. What will be the height from c to AB I.e.,CE for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about triangle ABC is isosceles triangle with AB=AC=7.5cm and BC=9cm.The height AD from A to BC, is 6 cm.Find the area of triangle ABC. What will be the height from c to AB I.e.,CE covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for triangle ABC is isosceles triangle with AB=AC=7.5cm and BC=9cm.The height AD from A to BC, is 6 cm.Find the area of triangle ABC. What will be the height from c to AB I.e.,CE.
triangle ABC is isosceles triangle with AB=AC=7.5cm and BC=9cm.The height AD from A to BC, is 6 cm.Find the area of triangle ABC. What will be the height from c to AB I.e.,CE for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about triangle ABC is isosceles triangle with AB=AC=7.5cm and BC=9cm.The height AD from A to BC, is 6 cm.Find the area of triangle ABC. What will be the height from c to AB I.e.,CE covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for triangle ABC is isosceles triangle with AB=AC=7.5cm and BC=9cm.The height AD from A to BC, is 6 cm.Find the area of triangle ABC. What will be the height from c to AB I.e.,CE.
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