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Q: What is the scale factor of triangle ABC to triangle XYZ?
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Prove that the three times the sum of squares of sides of triangle is equal to four times of its median?

Let the triangle be ABC and its medians by AX and BY and CZ. Therefore, since AC=AB, and OP=BD. Therefore, By Triangle Equiangular Property, Triangle ABC simliar to Triangle XYZ Therefore, Three times the sum of the squares of sides of triangle equal to 4 times of its median.:) Hope it helped.


Determining whether two triangles are similar?

If two triangles have the same shape but one is an enlargement of the other they are said to be similar. The two triangles must be equi-angular. To prove that ∆ABC is similar to ∆XYZ it is necessary to prove one of the following :- 1) Two angles in ∆ABC are equal to two angles in ∆XYZ, since it follows that the third angles will also be equal. 2) The three sides of ∆ABC are proportional to the corresponding sides of ∆XYZ AB/XY = AC/XZ = BC/YZ 3) Two sides in ∆ABC are proportional to two sides in ∆XYZ and the angles included between these sides in each triangle are equal. AB/XY = AC/XZ and angle A = angle X.


Can you name 3 different triangles with showing the picture?

Three triangles are: scalene, which has three sides of different lengths, isosceles, which has two sides with the same length, and equilateral, which has three sides that are all the same length. In the picture, the scalene triangle is triangle RST, the isosceles triangle is triangle XYZ, and the equilateral triangle is triangle ABC. If two sides or more sides of a triangle have a little line on them, then they are the same length. Click on the related link, "Three Triangles", to see them.


what- A triangle is made from repeating images of other triangles.What is point A?

the centroid of XYZ


You are given that triangle mnp triangle xyz line mp equals 8cm line xz equals 12cm the perimeter of triangle xyz equals 80cm what would be the perimeter of triangle mnp?

It is necessary to mention that the two triangles are similar.Let the perimeter of the triangle MNP be x cm.Since the triangles XYZ and MNP are similar triangles,8/12 = x/80 (multiply both sides by 80)640/12 = x53.3333... = x53 3/9 = x53 1/3 = xThus, the perimeter of the triangle MNP is 53 1/3 cm.