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A day full of math games & activities. Find one near you.
In ∆ABC, AB = 5 cm, BC = 8 cm and CA = 7 cm. If D and E are respectively the mid-points of AB and BC, determine the length of DE.
Solution:
It is given that, in ∆ABC
AB = 5 cm
BC = 8 cm
CA = 7 cm
D and E are respectively the mid-points of AB and BC
We have to find the length of DE
Using the mid-point theorem
DE = 1/2 AC
Substituting the values
DE = 1/2 (7)
DE = 3.5 cm
Therefore, the length of DE is 3.5 cm.
✦ Try This: In ∆ABC, AB = 3 cm, BC = 6 cm and CA = 9 cm. If D and E are respectively the mid-points of AB and BC, determine the length of DE.
☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 8
NCERT Exemplar Class 9 Maths Exercise 8.2 Problem 8
In ∆ABC, AB = 5 cm, BC = 8 cm and CA = 7 cm. If D and E are respectively the mid-points of AB and BC, determine the length of DE.
Summary:
In ∆ABC, AB = 5 cm, BC = 8 cm and CA = 7 cm. If D and E are respectively the mid-points of AB and BC, the length of DE is 3.5 cm
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