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Eva8 [605]
3 years ago
8

Help with this??? please

Mathematics
1 answer:
Aleks [24]3 years ago
4 0
Look at the picture.

Use the Pythagorean theorem.

(19+r)^2=r^2+35^2\\\\19^2+2\cdot19\cdot r+r^2=r^2+1225\ \ \ |-r^2\\\\361+38r=1225\ \ \ |-361\\\\38r=864\ \ \ |:38\\\\r\approx22.737

The diameter d = 2r.

Therefore

d=2\cdot22.737=45.474\approx45.5

Answer: 45.5

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