In Figure-2, DE || BC. If AD/DB = 3/2 and AE = 2.7 cm, then EC is equal to
(A) 2.0 cm
(B) 1.8 cm
(C) 4.0 cm
(D) 2.7 cm
Answers
Answer:
EC = 1.8 cm
Step-by-step explanation:
As per the question ,
We have given
a Figure-2 in which AE = 2.7 cm
DE ║ BC
we know that,
Thales or Basic Proportionality Theorem
When a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, then the other two sides are divided in the same ratio.
The intercept theorem, also known as Thales's theorem, basic proportionality theorem or side splitter theorem is an important theorem in elementary geometry about the ratios of various line segments that are created if two intersecting lines are intercepted by a pair of parallels
So,
AD /DB = AE /EC
3 /2 = 2.7/ EC
3 (EC) = 2 (2.7)
3 (EC) = 5.4
EC = 5.4 /3
EC = 1.8 cm
The correct option is (b) EC = 1.8 cm
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Answer: The correct option is (b) EC = 1.8 cm
Step-by-step explanation:
According to the question,
We gave
Figure-2 in which AE = 2.7 cm
DE ║ BC
we know that,
Thales, or the fundamental theorem of proportionality
When a line is drawn parallel to one side of a triangle to intersect the other two sides at different points, then the other two sides are divided in the same ratio.
The Intersection Theorem, also known as Thales' Theorem, Basic Proportionality Theorem, or Side Bisection Theorem, is an important theorem in elementary geometry about the ratios of different line segments that arise when two intersecting line segments are intercepted by a pair of parallel lines.
So,
AD/DB = AE/EC
3/2 = 2.7/EC
3 (EC) = 2 (2.7)
3 (EC) = 5.4
EC = 5.4/3
EC = 1.8 cm
The correct option is (b) EC = 1.8 cm
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