L is side length so perimeter is 4L. If L is tripled the perimeter becomes 4 x 3L = 12L, so perimeter is also tripled.
The area is increased by a factor of 9.
The perimeter will be tripled.
The perimeter would triple and the area would be multiplied by nine (32). Circumference (perimeter) is (2 x pi x r), so would be (6 x pi x r) for triple the radius, and area is (pi x r2), so would be (pi x 32 x r2) for triple the radius.
It would have to be (1, sqrt(3), 2) or a multiple of this triple.
3 cm, 4 cm and 5 cm because they are a Pythagorean triple
The area is increased by a factor of 9.
The perimeter will be tripled.
The perimeter would triple and the area would be multiplied by nine (32). Circumference (perimeter) is (2 x pi x r), so would be (6 x pi x r) for triple the radius, and area is (pi x r2), so would be (pi x 32 x r2) for triple the radius.
For the 6:8:10 triangle, area = perimeter = 24. Also, for the 5:12:13 triangle, area = perimeter = 30. Whether these are indeed the only examples I am not sure. That would take some proving.
For the 6:8:10 triangle, area = perimeter = 24. Also, for the 5:12:13 triangle, area = perimeter = 30. Whether these are indeed the only examples I am not sure. That would take some proving.
The area is increased by a factor of 9.
It becomes a bigger rectangle - possibly a square.
in what? a circle?
A Pythagorean Triple is a set of three numbers that are related like this:(The square of one of them) = (the square of another one) + ( the square of the third one)If three numbers are related that way, then they can be the lengths of the sides ofa right triangle. If they're not, then they can't.They're called a "Pythagorean Triple" because the ancient Greek mathematician Pythagoraswas the one who wrote the famous formula that describes the relationship among thesides of every right triangle. That's his formula, up in the second line of this answer.
Because the perimeter (circumference) is 2*pi*r is proportional to r. The area a = pi * r2 is proportional to r2
The area increases as the square of the radius (or diameter). So if you double the radius you * 4 (quadruple) the area. Treble the radius, you *9 the area.
Red.