No - if the lengths of the sides are all increased by a factor of 3, the angles remain unchanged. You just wind up with a "similar" triangle 3 times the size of the original.
A quick counterexample would be to consider what would happen if the angles DID change. The sum of the angles in the original triangle should be 180°. If the angles in the new, larger triangle tripled in size, the sum of the angles in the bigger triangle would be 540° - but the sum of the angles of a triangle should always remain 180°.
Look for corresponding parts of the two figures. Their ratio is the scale factor. For example, if you have two similar triangles, one has a side of length 3, and the corresponding side on the other triangle is 5, then the scale factor is 5/3 going from the small triangle to the big, or 3/5 going from the big triangle to the small.
Area is proportional to the square of the linear dimensions.If diameter is tripled, area increases by a factor of (3)2 = 9 .
The way you use a scale factor to enlarge a triangle is to multiply each side of the triangle by that scale factor. Your triangle will then be that many times larger.
If a big triangle has a base length of 6, and a small triangle has a corresponding base length of 3, the scale factor from large to small is 2/1 (or 2). The scale factor from small to large would be 1/2.
Perimeter is proportional to the linear dimensions, so it increases by 3x .Area is proportional to (linear dimensions)2, so it increases by 9x .
If the radius is tripled then the Area will be greater by a factor of 9. And the circumference will be greater by a factor of 3.
9 enlarged by a factor of a number is 9*y
An equilaterial triangle is always similar, because the corresponding angles are conqruent, it has the same basic shape, and it has a scale factor.
Look for corresponding parts of the two figures. Their ratio is the scale factor. For example, if you have two similar triangles, one has a side of length 3, and the corresponding side on the other triangle is 5, then the scale factor is 5/3 going from the small triangle to the big, or 3/5 going from the big triangle to the small.
When a shape is enlarged the multiplying factor is greater than 1. Example : A factor of 7 means that a length of 1cm on the original shape would be represented by a length of 7cm on the enlarged shape.
Area is proportional to the square of the linear dimensions.If diameter is tripled, area increases by a factor of (3)2 = 9 .
If the speed is tripled, the kinetic energy will increase by a factor of 9. This relationship is based on the equation for kinetic energy, which is proportional to the square of the velocity.
If the speed is tripled, the kinetic energy will increase by a factor of 9 (3 squared) since kinetic energy is proportional to the square of the speed.
The way you use a scale factor to enlarge a triangle is to multiply each side of the triangle by that scale factor. Your triangle will then be that many times larger.
If displacement per unit time is tripled, velocity will increase by a factor of 3. This is because velocity is directly proportional to displacement per unit time in a linear relationship.
just use a scale factor! multiply all the dimensions by X and you'll have the dimensions of the new triangle. of course the angles and all are the same b.c theyre similar.
Volume is proportional to the cube (3rd power) of the linear dimensions.If the side of the cube is tripled, the volume increasesby a factor of (3)3 = 27 .