86,069 views
28 votes
28 votes
Given that the following two triangles are similar find x

Given that the following two triangles are similar find x-example-1
User Manu M
by
2.7k points

1 Answer

14 votes
14 votes

Answer:

20 cm

Explanation:

When two triangles are similar, they're just dilated by a certain scale factor. In other words, each side is multiplied by the same value to create the similar triangle.

So to find this scale factor, we can use the two sides: 6 and 12, since we're going from the triangle with a 6 cm side to a 12 cm side, we divide 12 cm, by 6 cm to get a scale factor of 2

This means that the bottom side in the top triangle, which is 10 cm, is multiplied by a scale factor of 2, to get the new bottom side of x. So to find x, we simply multiply 10 cm by 2 to get 20 cm

User GeauxEric
by
2.7k points