If D and E are respectively the midpoints of the sides AB and BC of - ABC in which AB - 7-2 cm- BC - 9-8 cm and AC - 3-6 cm then determine the length of DE-

ANSWER: In ∆ABC, Since, D and E are respectively the mid points of sides AB and BC. So, DE = 1/2AC (Using mid point theorem) But AC = 3.6 cm (Given) (Given) DE ...

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Standard IX

Mathematics

The Mid-Point Theorem

If D and E ar...

Question

If D and E are respectively the midpoints of the sides AB and BC of $Δ A B C$ in which AB = 7.2 cm, BC = 9.8 cm and AC = 3.6 cm then determine the length of DE.

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Solution

ANSWER:
In ∆ABC,
Since, D and E are respectively the mid-points of sides AB and BC.
So, $D E = \frac{1}{2} A C$ (Using mid-point theorem)
But AC = 3.6 cm (Given)
(Given)
$D E = \frac{1}{2} * 3.6$
or, DE = 1.8 cm
Hence, the length of DE is 1.8 cm.

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If D and E are respectively the midpoints of the sides AB and BC of ΔABC in which AB = 7.2 cm, BC = 9.8 cm and AC = 3.6 cm then determine the length of DE.

ANSWER: In ∆ABC, Since, D and E are respectively the mid-points of sides AB and BC. So, DE=12AC (Using mid-point theorem) But AC = 3.6 cm (Given) (Given) DE=12∗3.6 or, DE = 1.8 cm Hence, the length of DE is 1.8 cm.

If D and E are respectively the midpoints of the sides AB and BC of $Δ A B C$ in which AB = 7.2 cm, BC = 9.8 cm and AC = 3.6 cm then determine the length of DE.

ANSWER:
In ∆ABC,
Since, D and E are respectively the mid-points of sides AB and BC.
So, $D E = \frac{1}{2} A C$ (Using mid-point theorem)
But AC = 3.6 cm (Given)
(Given)
$D E = \frac{1}{2} * 3.6$
or, DE = 1.8 cm
Hence, the length of DE is 1.8 cm.