What is the ratio of areas of two similar triangles?

The ratio of the areas of two similar triangles is equal to the ratio of the squares of their corresponding sides.

What can you say about the similarity of two triangles?

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion . In other words, similar triangles are the same shape, but not necessarily the same size.

How does the ratio of the areas of two similar figures compare to the ratio of their perimeters?

Here you’ll learn that the ratio of the perimeters of similar figures is equal to their scale factor and that the ratio of their areas is equal to the square of their scale factor.

When two triangles are similar the ratio of area of the two triangles is equal to the ratio of the of their corresponding sides?

Thus, the ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides.

Are the two triangles similar if so why are they similar?

If two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. We know this because if two angle pairs are the same, then the third pair must also be equal. But when they move, the triangle they create always retains its shape. Thus, they always form similar triangles.

What is ratio of triangle?

The ratio of the opposite to the adjacent for any right triangle is defined to be the tangent (tan) of the angle. For the red triangle the value of the tangent is: tan(c) = 1 / 2 = .5. For the blue triangle, we keep the angle c the same, but we have doubled the size of the opposite side and the adjacent side.

What is the ratio of similarity?

The RATIO OF SIMILARITY between any two similar figures is the ratio of any pair of corresponding sides. Simply stated, once it is determined that two figures are similar, all of their pairs of corresponding sides have the same ratio.