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In △ABC, EF is the line segment joining the mid-points of the sides AB and AC. BC = 7.2cm, Find EF.
- a)3.6cm
- b)3.4cm
- c)2.6cm
- d)3.5cm
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
InABC, EF is the line segment joining the mid-points of the sides AB a...
In triangle △ABC, if EF is the line segment joining the midpoints of sides AB and AC, then EF is a midsegment of the triangle. According to the triangle midsegment theorem, a midsegment in a triangle is parallel to the third side and its length is half the length of that side.
Since BC = 7.2 cm, the length of EF, which is a midsegment, would be half of BC. Therefore:
EF = 1/2 * BC = 1/2 * 7.2 cm = 3.6 cm
So, the correct answer is A: 3.6cm.
Most Upvoted Answer
InABC, EF is the line segment joining the mid-points of the sides AB a...
To find the length of EF, we need to understand the concept of midpoints and the properties of triangles.
Midpoint of a Line Segment:
The midpoint of a line segment is the point that divides the segment into two equal parts. In triangle ABC, EF is the line segment joining the midpoints of sides AB and AC. Let's denote the midpoint of AB as M and the midpoint of AC as N.
Property of Midpoint:
The line segment joining the midpoints of two sides of a triangle is parallel to the third side and half of its length.
Using this property, we can conclude that EF is parallel to BC and its length is half of BC.
Given Information:
BC = 7.2 cm
Calculating EF:
To find EF, we need to divide BC by 2.
EF = BC/2
Substituting the value of BC, we get:
EF = 7.2 cm / 2 = 3.6 cm
Therefore, the length of EF is 3.6 cm.
Explanation:
The correct answer is option A, which states that EF is 3.6 cm. This is because EF is the line segment joining the midpoints of sides AB and AC, and its length is half of BC. By dividing BC (given as 7.2 cm) by 2, we get 3.6 cm as the length of EF.
Midpoint of a Line Segment:
The midpoint of a line segment is the point that divides the segment into two equal parts. In triangle ABC, EF is the line segment joining the midpoints of sides AB and AC. Let's denote the midpoint of AB as M and the midpoint of AC as N.
Property of Midpoint:
The line segment joining the midpoints of two sides of a triangle is parallel to the third side and half of its length.
Using this property, we can conclude that EF is parallel to BC and its length is half of BC.
Given Information:
BC = 7.2 cm
Calculating EF:
To find EF, we need to divide BC by 2.
EF = BC/2
Substituting the value of BC, we get:
EF = 7.2 cm / 2 = 3.6 cm
Therefore, the length of EF is 3.6 cm.
Explanation:
The correct answer is option A, which states that EF is 3.6 cm. This is because EF is the line segment joining the midpoints of sides AB and AC, and its length is half of BC. By dividing BC (given as 7.2 cm) by 2, we get 3.6 cm as the length of EF.
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InABC, EF is the line segment joining the mid-points of the sides AB and AC. BC = 7.2cm, Find EF.a)3.6cmb)3.4cmc)2.6cmd)3.5cmCorrect answer is option 'A'. Can you explain this answer? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about InABC, EF is the line segment joining the mid-points of the sides AB and AC. BC = 7.2cm, Find EF.a)3.6cmb)3.4cmc)2.6cmd)3.5cmCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for InABC, EF is the line segment joining the mid-points of the sides AB and AC. BC = 7.2cm, Find EF.a)3.6cmb)3.4cmc)2.6cmd)3.5cmCorrect answer is option 'A'. Can you explain this answer?.
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