Question-172062

Question Number 172062 by cortano1 last updated on 23/Jun/22

Answered by kapoorshah last updated on 23/Jun/22

s = \frac{10 + 14 + 16}{2}

= 20

r = \sqrt{\frac{(20 - 10) (20 - 14) (20 - 16)}{20}}

= 2 \sqrt{3}

a + b = 16

b + c = 10

c + a = 14

\Rightarrow a = 10, b = 6, c = 4

x = \sqrt{10^{2} + {(2 \sqrt{3})}^{2}}

= 4 \sqrt{7}

y = \sqrt{4^{2} + {(2 \sqrt{3})}^{2}}

= 2 \sqrt{7}

z = \sqrt{6^{2} + {(2 \sqrt{3})}^{2}}

= 4 \sqrt{3}

x + y + z = 6 \sqrt{7} + 4 \sqrt{3}

Commented by kapoorshah last updated on 23/Jun/22

Commented by mr W last updated on 23/Jun/22

v e r y n i c e!

Commented by Tawa11 last updated on 25/Jun/22

Great sir

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