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महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता १० वी

Draw right-angled ΔABC of lengths of sides are 3 cm, 4 cm and 5 cm. Draw median on the hypotenuse of ΔABC. Then: a. Measure the length of median and write it. b. By observing lengths of median - Geometry Mathematics 2

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प्रश्न

Draw right-angled ΔABC of lengths of sides are 3 cm, 4 cm and 5 cm. Draw median on the hypotenuse of ΔABC.

Then:

  1. Measure the length of median and write it. 
  2. By observing lengths of median and hypotenuse write your observations.
आकृती
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उत्तर


a. BD = 2.5 cm.

b. Length of the median = BD = 2.5 cm

Length of the hypotenuse = AC = 5 cm

∴ Length of the median = `1/2` × Length of the hypotenuse

In a right-angled triangle, the median drawn to hypotenuse is half of the hypotenuse.

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