Question
Download Solution PDFशीर्ष (3, -2), (4, 0), (0, -4) वाले त्रिभुज का क्षेत्रफल क्या है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसंकल्पना-
त्रिभुज का क्षेत्रफल \( = \frac{1}{2} \{ x_{1}(y_{2}-y_{3})+x_{2}(y_{3}-y_{1})+x_{3}(y_{1}-y_{2})\}\)
गणना-
यदि A(x1, y1) B(x2, y2) और C(x3, y3) त्रिभुज के शीर्ष हैं तो इसका क्षेत्रफल होगा
यहाँ x1 = 3, x2 = 4, x3 = 0 और y1 = -2, y2 = 0, y3 = -4
त्रिभुज का क्षेत्रफल = \( {1} \over {2}\)[3(0 - (-4)) + 4(-4 - (-2)) + 0(-2 - 0)]
क्षेत्रफल = \( {1} \over {2}\)(12 + (-8) + 0)
क्षेत्रफल = 2
∴ शीर्ष (3, -2), (4, 0), (0, -4) वाले त्रिभुज का क्षेत्रफल 2 है।
Last updated on May 26, 2025
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