Study guides

☆☆

Q: What is the ratio of Two triangles that are similar and have a ratio of similarity of 310 what is the ratio of their areas?

Write your answer...

Submit

Related questions

The ratio of their perimeters will be 3:1, while the ratio of their areas will be 9:1 (i.e. 32:1)

9:25

7:3

area of triangle 1 would be 16 and the other triangle is 9 as the ratio of areas of triangles is the square of their similar sides

Here guys Thanks :D Congruent triangles are similar figures with a ratio of similarity of 1, that is 1 1 . One way to prove triangles congruent is to prove they are similar first, and then prove that the ratio of similarity is 1. In these sections of the text the students find short cuts that enable them to prove triangles congruent in fewer steps, by developing five triangle congruence conjectures. They are SSS! , ASA! , AAS! , SAS! , and HL ! , illustrated below.

Measure any two corresponding edges. The ratio of these edges is the similarity ratio.

It is given that two triangles are similar. So that the ratio of their corresponding sides are equal. If you draw altitudes from the same vertex to both triangles, then they would divide the original triangles into two triangles which are similar to the originals and to each other. So the altitudes, as sides of the similar triangles, will have the same ratio as any pair of corresponding sides of the original triangles.

I am not sure what this is?

4.9

If two triangles are similar, then the reduced ratio of any two corresponding sides is called the scale factor of the similar triangles

ratio

ratio

yes

3:1

I guess you mean the ratio of the areas; it depends if the 2 rectangles are "similar figures"; that is their matching sides are in the same ratio. If they are similar then the ratio of their areas is the square of the ratio of the sides.

is it 3:5 and 3:5

2 sides in same ratio and included angle all angles 3 sides in same ratio Triangles are similar if they are the same shape, with the same angles and proportions, but not necessarily the same size.

The similarity ratio is 1:4.

Equilateral triangles are always similar because the will always have sixty-degree angles, and the sides will always have the same 1:1:1 ratio.

If the angles are the same and the sides are proportional by ratio then they are said to be similar triangles.

The ratio is 19/9.

Their scale factor is 3 : 5, which mean their sides scale factor is 3 : 5, too. The area formula : S = bh/2 ---> The ratio of their areas : (3 : 5)^2=9 : 25 It's the answer.

The ratio between corresponding sides or angles of similar triangles are equal

Area = length x length Therefore the ratio of areas of two similar objects is the square of the ratio of lengths. Lengths - 1 : 41 Areas - 12 : 412 = 1 : 1681

Lever arm rule referrers to the similarity of triangles (similar triangles are the ones which have corresponding equal angles). They have the property of having the same ratio between the corresponding edges. This is in fact the lever-arm rule: the ratio between the lengths of the corresponding edges of two similar triangles are the same. By "corresponding" edges, one understands the edges of the triangles which oppose congruent angles. For exemplification, let's take a triangle OAB. Drawing a parallel to AB which intersects OA and OB in A', respectively B', another triangle OA'B' is formed. The two triangles OAB and OA'B' are similar. Then, [OA']/[OA]=[A'B']/[AB]=[OB']/[OB]