Question 8
In $Δ A B C, A B = 5 c m$ , 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

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Solution

In $Δ A B C$ , we have AB = 5 cm, BC = 8 cm and CA = 7 cm. Since, D and E are the mid-points of AB and BC, respectively
By mid-point theorem, DE || AC and $D E = \frac{1}{2} A C = \frac{7}{2} = 3.5 c m$

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The Mid-Point Theorem

Standard IX Mathematics

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Question 8 In ΔABC,AB=5cm, 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

In ΔABC, we have AB = 5 cm, BC = 8 cm and CA = 7 cm. Since, D and E are the mid-points of AB and BC, respectively By mid-point theorem, DE || AC and DE=12AC=72=3.5 cm

Question 8
In $Δ A B C, A B = 5 c m$ , 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

In $Δ A B C$ , we have AB = 5 cm, BC = 8 cm and CA = 7 cm. Since, D and E are the mid-points of AB and BC, respectively
By mid-point theorem, DE || AC and $D E = \frac{1}{2} A C = \frac{7}{2} = 3.5 c m$