Ok if the triangle is equilateral then all the sides have to have the same length. Since the perimeter is 45 inches that means each side is 15 inches.
Now if he dilates the triangle by a scale factor of 0.6 we have to multiply the length of each side by 0.6.
So the answer is 9 inches
Find the coordinates of the vertices of triangle a'b'c' after triangle ABC is dilated using the given scale factor then graph triangle ABC and its dilation A (1,1) B(1,3) C(3,1) scale factor 3
0.5
It can be.
Consider any triangle with given angles. If you expand it by a linear scale factor x, then its perimeter is multiplied by x, and its area by x2. When x is big, x2 is bigger than x. The area thus grows relative to the perimeter; as x tends to infinity, the ratio area/perimeter (call it R) tends to infinity. When x is small, x2 is smaller than x. The area thus shrinks relative to the perimeter; as x tends to zero, the ratio R tends to zero. For perimeter to equal area, R must equal 1. Since R is continuously defined, and (as we have just seen) it varies between zero and infinity, there must be some value of x that renders R = 1. This proves that an infinite number of triangles have perimeter equal to area, since our reasoning applied to triangles of any shape. To give one example, we'll find the equilateral triangle with perimeter equal to area. Set the length of a side equal to 2y. area = height x base / 2 = y2sqrt3 perimeter = 6y So, solve 6y = y2sqrt3 6 = ysqrt3 y = 6/sqrt3 = 2sqrt3 One more trivial example: if perimeter equals zero, then it definitely equals area.
25.4 cm = 10 inches
Find the coordinates of the vertices of triangle a'b'c' after triangle ABC is dilated using the given scale factor then graph triangle ABC and its dilation A (1,1) B(1,3) C(3,1) scale factor 3
0.5
There need not be any. There is no scale factor between a pentagon with a perimeter of 50 cm and a triangle with a perimeter of 75 cm. The shapes are totally different!The scale factor is 2 : 3.
The scale factor is 3:1
You cannot. There is no scale factor between an irregular pentagon and an equilateral triangle, for example.
The perimeter to area ratio.
the sides of ABC are congruent to the sides of A'B'C'
If it's interior angle is a factor of 360 then it will tessellate such as a square, a regular hexagon and an equilateral triangle.
the answer to this question is 1:4 10: ? =10x4/1 =40
Scale factor and perimeter are related because if the scale factor is 2, then the perimeter will be doubled. So whatever the scale factor is, that is how many times the perimeter will be enlarged.
Area is proportional to the square of the linear dimensions. If the linear dimensions are doubled, the area is increased by a factor of 22 = 4. The new area is 9 x 4 = 36 square inches.
The perimeter will scale by the same factor.