The sides of the square are 9 units so the sides of the triangles are 9, 10.5 and 10.5.
This makes the perimeter of the shape 8 x 10.5 ie 84 units.
Let the perimeter of the triangle MNO be x.Since the perimeters of similar polygons have the same ratio as any two corresponding sides, we have13/26 = 44/x (cross multiply)13x =1,144 (divide both sides by 13)x = 88Or since 13/26 = 1/2, the perimeter of the triangle MNO is twice the perimeter of the triangle HIJ, which is 88.
Isoceles triangles and right triangles have 2 corresponding equal angles three equal corresponding angles are equilateral triangle
The relationship between the perimeters of two similar triangles does not directly translate to the relationship between their areas. If the perimeter of triangle B is 5 times larger than that of triangle A, the ratio of their corresponding side lengths is 5:1. Therefore, the area of triangle B will be 5² = 25 times larger than the area of triangle A, assuming both triangles are similar.
Someone correct me if I am wrong, but I don't believe triangles can be "equal", only congruent. The measurements can be equal, but not the triangle itself.The triangle congruency postulates and theorems are:Side/Side/Side Postulate - If all three sides of a triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.Angle/Side/Angle Postulate - If two angles and a side included within those angles of a triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.Side/Angle/Side Postulate - If two sides and an angle included within those sides of a triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.Angle/Angle/Side Theorem - If two angles and an unincluded side of a triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.Hypotenuse/Leg Theorem - (right triangles only) If the hypotenuse and a leg of a right triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.
== == The corresponding angle is 60 degrees.
Let's denote the perimeter of the first triangle as P. Since the triangles are congruent, the perimeter of the second triangle is also P. The sum of their perimeters is then 2P. According to the given statement, this sum is three times the perimeter of the first triangle. So we have the equation 2P = 3P. Simplifying, we find that P = 0, which is not a valid solution. Therefore, there is no triangle for which the sum of the perimeters of two congruent triangles is three times the perimeter of the first triangle.
Two triangles are said to be similar if the ratio of the sides of one triangle to the corresponding sides of the other triangle remains the same. One consequence is that all corresponding angles are the same.
The four congruence theorem for right triangles are:- LL Congruence Theorem --> If the two legs of a right triangle is congruent to the corresponding two legs of another right triangle, then the triangles are congruent.- LA Congruence Theorem --> If a leg and an acute angle of a right triangles is congruent to the corresponding leg and acute angle of another right triangle, then the triangles are congruent.- HA Congruence Theorem --> If the hypotenuse and an acute angle of a right triangle is congruent to the corresponding hypotenuse and acute angle of another triangle, then the triangles are congruent.- HL Congruence Theorem --> If the hypotenuse and a leg of a right triangle is congruent to the corresponding hypotenuse and leg of another right triangle, then the triangles are congruent.
nonononono
The perimeter of any triangle is the sum of its 3 sides
The perimeter of a triangle does not provide sufficient information to calculate its area.
The scale factor of triangle ABC to triangle XYZ can be determined by comparing the lengths of corresponding sides of the two triangles. To find the scale factor, divide the length of a side in triangle ABC by the length of the corresponding side in triangle XYZ. If all corresponding sides have the same ratio, that ratio is the scale factor for the triangles.