Question

त्रिभुज का क्षेत्रफल क्या है जिसकी भुजाएं 3 सेमी, 5 सेमी और 6 सेमी हैं?​

Answer 1

Given :

Side of triangle are

• a = 3cm
• b = 5cm
• c = 6cm

To find : Area of triangle

Formula used :

• Perimeter of triangle = p = a + b + c

$\sf \bullet \: Area \: of \: triangle \: = \sqrt{s(s - a)(s - b)(s - c)}$

• here s , is semi-perimeter of traingle & s = p/2

Solution :

• Perimeter of triangle = 3+5+6 = 14cm

• Semi-perimeter = P/2 = 14/2 = 7cm

$\sf \bullet \: Area \: of \: triangle \: = \: \sqrt{7(7 - 3)( 7 - 5)(7 - 6)} \\ \\ \sf \implies \: \: Area \: of \: triangle \: = \: \sqrt{7 \times 4 \times 2 \times 1} \\ \\ \sf \implies \: Area \: of \: triangle \: = \sqrt{7 \times 2 \times (2 \times 2)} \\ \\ \sf \implies \: \: Area \: of \: triangle \: = \: 2 \sqrt{14} \: {cm}^{2}$

ANSWER : Area = 2√14 cm²

Answer 2

ANSWER - 2√14 वर्ग सेमी