Mathematics
In a △ABC, AB = 3 cm, BC = 4 cm and CA = 5 cm. If D and E are mid-points of AB and BC respectively, then the length of DE is
1.5 cm
2 cm
2.5 cm
3.5 cm
Mid-point Theorem
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Answer
Since, D is midpoint of AB and E is midpoint of BC,
DE || AC and DE = AC = x 5 = 2.5 cm
Hence, Option 3 is the correct option.
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Related Questions
In the figure given below, ABCD is a kite in which BC = CD, AB = AD. E, F, G are mid-points of CD, BC and AB respectively. Prove that :
(i) ∠EFG = 90°
(ii) The line drawn through G and parallel to FE bisects DA.
In the adjoining figure, the lines l, m and n are parallel to each other, and G is mid-point of CD. Calculate :
(i) BG if AD = 6 cm
(ii) CF if GE = 2.3 cm
(iii) AB if BC = 2.4 cm
(iv) ED if FD = 4.4 cm
In the adjoining figure, ABCD is a rectangle in which AB = 6 cm and AD = 8 cm. If P and Q are mid-points of the sides BC and CD respectively, then the length of PQ is
7 cm
5 cm
4 cm
3 cm
D and E are mid-points of the sides AB and AC of △ABC and O is any point on the side BC. O is joined to A. If P and Q are mid-points of OB and OC respectively, then DEQP is
a square
a rectangle
a rhombus
a parallelogram