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In the figure AB=14 cm,radius of inner circle is 4cm, if AF=AE=6cm and BD=8cm. Find AC and BC.
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In the figure AB=14 cm,radius of inner circle is 4cm, if AF=AE=6cm and...
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In the figure AB=14 cm,radius of inner circle is 4cm, if AF=AE=6cm and...
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In the figure AB=14 cm,radius of inner circle is 4cm, if AF=AE=6cm and...
Understanding the Problem
In this scenario, we are given a geometric figure with specific lengths and radii. We need to find the lengths of AC and BC.
Given Data:
- AB = 14 cm
- Radius of inner circle = 4 cm
- AF = AE = 6 cm
- BD = 8 cm
Visualizing the Geometry
To solve for AC and BC, we can visualize the points involved:
- Point A is one endpoint of segment AB.
- Point B is the other endpoint.
- Points F and E are located along the line segments, with AF and AE both measuring 6 cm.
- Point D is on the line segment from B, with BD measuring 8 cm.
Calculating AC and BC
1. Finding AC:
- Since AF = 6 cm and AB = 14 cm:
- AE = AF = 6 cm (as given)
- Therefore, the remaining length from A to B after AF is AD = AB - AF = 14 cm - 6 cm = 8 cm.
- Hence, AC = AD = 8 cm.
2. Finding BC:
- We know that BD = 8 cm and AB = 14 cm. To find BC, we can use:
- BC = AB - AD
- Since AD = 8 cm, then:
- BC = 14 cm - 8 cm = 6 cm.
Final Results
- AC = 8 cm
- BC = 6 cm
Thus, we have successfully calculated the lengths AC and BC based on the given parameters.
In this scenario, we are given a geometric figure with specific lengths and radii. We need to find the lengths of AC and BC.
Given Data:
- AB = 14 cm
- Radius of inner circle = 4 cm
- AF = AE = 6 cm
- BD = 8 cm
Visualizing the Geometry
To solve for AC and BC, we can visualize the points involved:
- Point A is one endpoint of segment AB.
- Point B is the other endpoint.
- Points F and E are located along the line segments, with AF and AE both measuring 6 cm.
- Point D is on the line segment from B, with BD measuring 8 cm.
Calculating AC and BC
1. Finding AC:
- Since AF = 6 cm and AB = 14 cm:
- AE = AF = 6 cm (as given)
- Therefore, the remaining length from A to B after AF is AD = AB - AF = 14 cm - 6 cm = 8 cm.
- Hence, AC = AD = 8 cm.
2. Finding BC:
- We know that BD = 8 cm and AB = 14 cm. To find BC, we can use:
- BC = AB - AD
- Since AD = 8 cm, then:
- BC = 14 cm - 8 cm = 6 cm.
Final Results
- AC = 8 cm
- BC = 6 cm
Thus, we have successfully calculated the lengths AC and BC based on the given parameters.
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In the figure AB=14 cm,radius of inner circle is 4cm, if AF=AE=6cm and BD=8cm. Find AC and BC.
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In the figure AB=14 cm,radius of inner circle is 4cm, if AF=AE=6cm and BD=8cm. Find AC and BC. 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 In the figure AB=14 cm,radius of inner circle is 4cm, if AF=AE=6cm and BD=8cm. Find AC and BC. covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the figure AB=14 cm,radius of inner circle is 4cm, if AF=AE=6cm and BD=8cm. Find AC and BC..
In the figure AB=14 cm,radius of inner circle is 4cm, if AF=AE=6cm and BD=8cm. Find AC and BC. 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 In the figure AB=14 cm,radius of inner circle is 4cm, if AF=AE=6cm and BD=8cm. Find AC and BC. covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the figure AB=14 cm,radius of inner circle is 4cm, if AF=AE=6cm and BD=8cm. Find AC and BC..
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