পিথাগোরাসের উপপাদ্য
অষ্টম শ্রেণি (মাধ্যমিক)- গণিত - পিথাগোরাসের উপপাদ্য | NCTB BOOK
1.
ABC একটি সমবাহু ত্রিভুজ। AD, BC-এর উপর লম্ব।
প্রমাণ কর যে, AB2 + BC2 + CA2 = 4AD2
ABC একটি সমবাহু ত্রিভুজ। AD, BC-এর উপর লম্ব।
প্রমাণ কর যে, AB2 + BC2 + CA2 = 4AD2
2.
ABCD চতুর্ভুজের কর্ণ দুইটি পরস্পরকে লম্বভাবে ছেদ করে।
প্রমাণ কর যে, AB2 + CD2 = BC2 + AD
ABCD চতুর্ভুজের কর্ণ দুইটি পরস্পরকে লম্বভাবে ছেদ করে।
প্রমাণ কর যে, AB2 + CD2 = BC2 + AD
3.
ABC ত্রিভুজের ∠A সমকোণ এবং CD একটি মধ্যমা।
প্রমাণ কর যে, BC2 = CD2 + 3AD2
ABC ত্রিভুজের ∠A সমকোণ এবং CD একটি মধ্যমা।
প্রমাণ কর যে, BC2 = CD2 + 3AD2
4.
ABC ত্রিভুজের ∠A সমকোণ BP ও CQ দুইটি মধ্যমা।
প্রমাণ কর যে, 5BC2 = 4 (BP2 + CQ2)
ABC ত্রিভুজের ∠A সমকোণ BP ও CQ দুইটি মধ্যমা।
প্রমাণ কর যে, 5BC2 = 4 (BP2 + CQ2)
5.
প্রমাণ কর যে, কোনো বর্গক্ষেত্রের কর্ণের উপর অঙ্কিত বর্গক্ষেত্রের ক্ষেত্রফল ঐ বর্গক্ষেত্রের ক্ষেত্রফলের দ্বিগুণ।
প্রমাণ কর যে, কোনো বর্গক্ষেত্রের কর্ণের উপর অঙ্কিত বর্গক্ষেত্রের ক্ষেত্রফল ঐ বর্গক্ষেত্রের ক্ষেত্রফলের দ্বিগুণ।
6.
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)
চিত্রে OB = 4 সে.মি হলে BD এবং AC এর দৈর্ঘ্য নির্ণয় কর।
চিত্রে OB = 4 সে.মি হলে BD এবং AC এর দৈর্ঘ্য নির্ণয় কর।
7.
প্রমাণ কর যে, কোনো বর্গক্ষেত্র এর কর্ণের উপর অঙ্কিত বর্গক্ষেত্রের অর্ধেক।
প্রমাণ কর যে, কোনো বর্গক্ষেত্র এর কর্ণের উপর অঙ্কিত বর্গক্ষেত্রের অর্ধেক।
8.
ABC ত্রিভুজের ∠A = এক সমকোণ। D, AC এর উপরস্থ একটি বিন্দু।
প্রমাণ কর যে, BC2 + AD2 = BD 2 + AC2
ABC ত্রিভুজের ∠A = এক সমকোণ। D, AC এর উপরস্থ একটি বিন্দু।
প্রমাণ কর যে, BC2 + AD2 = BD 2 + AC2
9.
ABC ত্রিভুজের ∠A = এক সমকোণ D ও E যথাক্রমে AB ও AC এর মধ্যবিন্দু হলে,
প্রমাণ কর যে, DE2 = CE2 + BD2
ABC ত্রিভুজের ∠A = এক সমকোণ D ও E যথাক্রমে AB ও AC এর মধ্যবিন্দু হলে,
প্রমাণ কর যে, DE2 = CE2 + BD2
10.
∆ABC এ BC এর উপর লম্ব AD এবং AB > AC
প্রমাণ কর যে, AB2 – AC2 = BD2 – CD2
∆ABC এ BC এর উপর লম্ব AD এবং AB > AC
প্রমাণ কর যে, AB2 – AC2 = BD2 – CD2
11.
∆AABC এ BC এর উপর AD লম্ব এবং AD এর উপর P যেকোনো বিন্দু ও AB > AC
প্রমাণ কর যে, PB2 – PC2 = AB2 = AC2
∆AABC এ BC এর উপর AD লম্ব এবং AD এর উপর P যেকোনো বিন্দু ও AB > AC
প্রমাণ কর যে, PB2 – PC2 = AB2 = AC2
12.
POST কী ধরনের চতুর্ভুজ? স্বপক্ষে যুক্তি দাও।
POST কী ধরনের চতুর্ভুজ? স্বপক্ষে যুক্তি দাও।
13.
দেখাও যে, ∆PRT সমকোণী।
দেখাও যে, ∆PRT সমকোণী।
14.
প্রমাণ কর যে, PR2 = PQ2 + QR2
প্রমাণ কর যে, PR2 = PQ2 + QR2
15.
ত্রিভুজটি আঁক।
ত্রিভুজটি আঁক।
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