Math, asked by shivamyadav269, 5 days ago

Find the area of triangle​

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Answers

Answered by eeepathshala
0

Step-by-step explanation:

Given Sides of a triangle

a=21 cm

b=17 cm

c=10 cm

By Heron's Formula,

Area \:  of  \: Triangle=  \sqrt{s(s - a)(s - b)(s - c)}  \\  s =  \frac{a +b  +c }{2}  \\ s =  \frac{21 + 17 + 10}{2}  \\ s =  \frac{48}{2} cm \\ s = 24 \: cm \\ Area \:  of  \: Triangle=  \sqrt{24(24 - 21)(24 - 17)(24 - 10)} \\  =   \sqrt{24 \times 3 \times 7  \times 14}  \\  =  \sqrt{2 \times 2 \times 2 \times 3 \times 3 \times 7 \times 7 \times 2}  \\  =  2 \times 2 \times 3 \times 7 \:  {cm}^{2}  \\  = 84  \: {cm}^{2}

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