Question
Download Solution PDFΔ PQR-তে, PS হল ত্রিভুজের মধ্যমা। QR হল ভূমি। যদি PQ-এর মান 20 সেমি এবং PS 15 সেমি এবং SR 10 সেমি হয়, তাহলে PR-এর মান নির্ণয় করুন।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFপ্রদত্ত:
Δ PQR-তে, PS হল ত্রিভুজের মধ্যমা। QR হল ভূমি।
PQ এর মান 20 সেমি, PS 15 সেমি এবং SR 10 সেমি।
ব্যবহৃত সূত্র:
অ্যাপোলোনিয়াস উপপাদ্য অনুসারে,
PQ2 + PR2 = 2 (Qs2 + PS2)
গণনা:
ধরি, PR = x, PS মধ্যমা, তাহলে QS = SR
উপপাদ্য অনুসারে,
202 + x2 = 2 (152 + 102)
⇒ 400 + x2 = 2 × 325
⇒ x2. = 650 - 400
⇒ x2 = 250
⇒ x = 5√10 সেমি
PR এর মান 5√10 সেমি।
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