Question
Download Solution PDFएका समद्विभुज त्रिकोण ABC मध्ये AB = AC आणि AD हा BC ला लंब आहे, जर AD= 6 सेमी आणि ΔABC ची परिमिती 36 सेमी असेल तर ΔABC चे क्षेत्रफळ शोधा.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिल्याप्रमाणे
ΔABC एक समद्विभुज त्रिकोण आहे, AB = AC
AD = 6 सेमी
वापरलेले सूत्र
त्रिकोणाचे क्षेत्रफळ = 1/2 × पाया × उंची
आकृती:
गणना
BC हा AD ला लंब आहे, तर ΔADB हा काटकोन त्रिकोण आहे
आपल्याला त्रिकुट (6,8, 10) माहित आहे
तर AB= 10 , AD = 6 सेमी आणि BD = 8 सेमी
BC = 2 × BD (समद्विभुज त्रिकोणात, उंची आणि मध्यगा एकसारखे आहेत)
BC = 16 सेमी
त्रिकोण ABC चे क्षेत्रफळ = 1/2 × 16 × 6 = 48 सेमी2
∴ त्रिकोण ABC चे क्षेत्रफळ 48 सेमी2 आहे
Last updated on Jul 22, 2025
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