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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. - Mathematics

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प्रश्न

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.

योग

उत्तर

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 = `1/2` AC = `7/2` = 3.5 cm

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अध्याय 8: Quadrilaterals - Exercise 8.2 [पृष्ठ ७६]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 9
अध्याय 8 Quadrilaterals
Exercise 8.2 | Q 8. | पृष्ठ ७६

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