एक त्रिकोण, जिकी भुजाएं 3, 4 और 5 cm है, तो उसका क्षेत्रफल _______ cm2 है

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ISRO SAC Technician B Fitter 21 Oct 2018 Official Paper
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  1. 10
  2. 7.5
  3. 15
  4. 6

Answer (Detailed Solution Below)

Option 4 : 6
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अवधारणा:

एक समकोण त्रिभुज का क्षेत्रफल =\(\frac{1}{2}~\times~base~\times~height\)

पाइथागोरस प्रमेय: (कर्ण)2 = (आधार)2 + (ऊंचाई)2

गणना:

दिया गया है:

एक समकोण त्रिभुज की भुजाएँ 3 cm, 4 cm और 5 cm हैं

∵ 52 = 42 + 32

भुजाएं पाइथागोरस प्रमेय को संतुष्ट करते हैं।

इसलिए, आधार = 3 cm, ऊँचाई = 4 cm

समकोण त्रिभुज का क्षेत्रफल =\(\frac{1}{2}~\times~base~\times~height\)

⇒ समकोण त्रिभुज का क्षेत्रफल =\(\frac{1}{2}~\times~4~\times~3\)

⇒ समकोण त्रिभुज का क्षेत्रफल = 6 cm2

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