Find the area of a triangle whose sides are \(26\) cm, \(28\) cm and \(30\) cm. একটি ত্রিভুজের বাহুগুলি \(26\) cm, \(28\) cm এবং \(30\) cm হলে, ক্ষেত্রফল কত?

Practice MCQ for SSC, UPSC, RRB Exams

A. 336 sq cm A. 336 sq cm
B. 106 sq cm B. 106 sq cm
C. 416 sq cm C. 416 sq cm
D. 307 sq cm D. 307 sq cm

Correct Answer: A সঠিক উত্তর: A

Explanation ব্যাখ্যা

Using Heron’s Formula:

\[ a = 26,\; b = 28,\; c = 30 \]

Semi-perimeter:

\[ s = \frac{26 + 28 + 30}{2} = \frac{84}{2} = 42 \]

Area:

\[ \text{Area} = \sqrt{s(s-a)(s-b)(s-c)} \]

\[ = \sqrt{42(42-26)(42-28)(42-30)} \]

\[ = \sqrt{42 \times 16 \times 14 \times 12} \]

\[ = \sqrt{112896} = 336 \]

Therefore, Area = \[ 336 \text{ sq cm} \]

Heron’s Formula ব্যবহার করি:

\[ a = 26,\; b = 28,\; c = 30 \]

অর্ধপরিসীমা:

\[ s = \frac{26 + 28 + 30}{2} = \frac{84}{2} = 42 \]

ক্ষেত্রফল:

\[ \text{Area} = \sqrt{s(s-a)(s-b)(s-c)} \]

\[ = \sqrt{42(42-26)(42-28)(42-30)} \]

\[ = \sqrt{42 \times 16 \times 14 \times 12} \]

\[ = \sqrt{112896} = 336 \]

অতএব ক্ষেত্রফল = \[ 336 \text{ sq cm} \]

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