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Construct a ∆ ABC in which BC=7cm, angle C=100′ and AC=4.8Cm.draw median ad and BE. If AD and BE intersect at G, join CG and produce to meet AB at F. Is F the mid point of AB.?
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Construct a ∆ ABC in which BC=7cm, angle C=100′ and AC=4.8Cm.draw medi...
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Construct a ∆ ABC in which BC=7cm, angle C=100′ and AC=4.8Cm.draw medi...
Construction of Triangle ABC:
To construct triangle ABC, we need to follow the given conditions:
- BC = 7 cm
- ∠C = 100'
- AC = 4.8 cm

Step 1: Draw BC
Take a ruler and draw a line segment BC of length 7 cm. This will be the base of the triangle.

Step 2: Construct ∠C
From point B, use a protractor to measure an angle of 100' and mark a point A on BC such that ∠BAC = 100'.

Step 3: Construct AC
Using a compass, open it to a length of 4.8 cm. Place the compass at point A and draw an arc that intersects BC at point C.

Step 4: Join A to D
To construct the median AD, divide BC into two equal parts. From point C, draw a line segment CD such that CD is equal to half of BC. Then, draw a line segment AD connecting point A to point D. AD is the median of triangle ABC.

Step 5: Construct BE
To construct the median BE, divide AC into two equal parts. From point A, draw a line segment AE such that AE is equal to half of AC. Then, draw a line segment BE connecting point B to point E. BE is the median of triangle ABC.

Step 6: Identify the Intersection Point G
AD and BE intersect at a point G. Mark this point G.

Step 7: Join CG and Extend to AB
From point G, draw a line segment CG that intersects AB at point F. Extend CG beyond point G until it intersects AB.

Step 8: Determine if F is the Midpoint of AB
To determine if F is the midpoint of AB, measure the lengths of AF and FB. If AF is equal to FB, then F is the midpoint of AB. If AF is not equal to FB, then F is not the midpoint of AB.

Explanation:
- Triangle ABC is constructed with given measurements BC = 7 cm, ∠C = 100', and AC = 4.8 cm.
- Median AD and median BE are constructed by dividing the opposite sides BC and AC into two equal parts.
- The medians AD and BE intersect at point G.
- Line segment CG is drawn from point G and extended to intersect side AB at point F.
- To determine if F is the midpoint of AB, we need to measure the lengths of AF and FB.
- If AF is equal to FB, then F is the midpoint of AB. If AF is not equal to FB, then F is not the midpoint of AB.
- By measuring the lengths of AF and FB, we can determine if F is the midpoint of AB.
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Construct a ∆ ABC in which BC=7cm, angle C=100′ and AC=4.8Cm.draw median ad and BE. If AD and BE intersect at G, join CG and produce to meet AB at F. Is F the mid point of AB.?
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Construct a ∆ ABC in which BC=7cm, angle C=100′ and AC=4.8Cm.draw median ad and BE. If AD and BE intersect at G, join CG and produce to meet AB at F. Is F the mid point of AB.? for Class 7 2025 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about Construct a ∆ ABC in which BC=7cm, angle C=100′ and AC=4.8Cm.draw median ad and BE. If AD and BE intersect at G, join CG and produce to meet AB at F. Is F the mid point of AB.? covers all topics & solutions for Class 7 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Construct a ∆ ABC in which BC=7cm, angle C=100′ and AC=4.8Cm.draw median ad and BE. If AD and BE intersect at G, join CG and produce to meet AB at F. Is F the mid point of AB.?.
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