Mathematics: 15 ! geometry questions attached!

I think the correct answer is C...

15 ! geometry questions attached! - id151156326, talyku843

Ответ:

groverparham3

14.03.2022

9.
$\text{If QR is tangent to circle then m}\angle PQR=90^o$

$\text{We can use the converse of Pythagorean theorem}$

$8\ and\ 4\sqrt3\\\\check:\ 4^2+(4\sqrt3)^2=8^2\\16+16\cdot3=64\\16+48=64\\64=64\ -O.K.\\\\2\ and\ 4\sqrt2\\\\check:\ 4^2+2^2=(4\sqrt2)^2\\16+4=16\cdot2\\20=32\ -FALSE\\\\3\ and\ 5\\\\check:\ 3^2+4^2=5^2\\9+16=25\\25=25\ -O.K.\\\\2\ and\ 2\sqrt5\\\\check:\ 4^2+2^2=(2\sqrt5)^2\\16+4=4\cdot5\\20=20\ -O.K.\\\\6\ and\ 10\\check:\ 4^2+6^2=10^2\\16+36=100\\52=100\ -FALSE$

$\text{}\boxed{8\ and\ 4\sqrt3;\ 3\ and\ 5;\ 2\ and\ 2\sqrt5}$

10.
$\text{Look at the pictures}$

$\text{Therefore}\\\\C=2\cdot8+2\cdot16+2\cdot9+2\cdot6=16+32+18+12=78cm$

$Other\ method:\\C=2\cdot(8+16+6+9)=2\cdot39=78cm$

15 ! geometry questions attached!

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15 ! geometry questions attached!

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