একটি ত্রিভুজের তিনটি বাহুর দৈর্ঘ্য যথাক্রমে ৫ সে.মি., ৬ সে.মি. ও ৭ সে.মি হলে এর ক্ষেত্রফল কত?

Created: 4 months ago | Updated: 3 days ago

Updated: 3 days ago

ক

$5 \sqrt{5}$ বর্গ সে.মি
খ

$6 \sqrt{6}$ বর্গ সে.মি
গ

6 বর্গ সে.মি
ঘ

$7 \sqrt{7}$ বর্গ সে.মি

123

ব্যাখ্যাঃ

ত্রিভুজটির অর্ধপরিসীমা $S = \frac{a + b + c}{2}$ একক

$= \frac{5 + 6 + 7}{2}$ $= \frac{18}{2} = 9$ সেন্টিমিটার

∴ নির্ণেয় ক্ষেত্রফল $= \sqrt{s (s - a) (s - b) (s - c)}$

$= \sqrt{9 (9 - 5) (9 - 6) (9 - 7)}$

$= \sqrt{9 \times 4 \times 3 \times 2}$

$= \sqrt{36 \times 6} = 6 \sqrt{6}$ বর্গ সে.মি

Najjar Hossain Raju

4 months ago

MCQ: 36 CQ: 15

Practice

ত্রিভুজের তিন বাহু দেওয়া থাকলে ক্ষেত্রফল

ত্রিভুজের তিন বাহু দেওয়া আছে :

মনে করি, △ABC এর BC = a, CA = b এবং AB = c । এর পরিসীমা 2s = a + b + c l AD ⊥ BC আঁকি।

ধরি, BD = x তাহলে, CD = a - x

△ABD এবং △ACD সমকোণী।

আবার,

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একটি ত্রিভুজের তিনটি বাহুর দৈর্ঘ্য যথাক্রমে ৫ সে.মি., ৬ সে.মি. ও ৭ সে.মি হলে এর ক্ষেত্রফল কত?

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