Question

triangles ABC and triangle XYZ are similar triangles the lengths of two sides of each triangle is shown find a length of the third side of each triangle

Answer 1

Adam, the solution to this problem is quite similar to the one we worked on just minutes ago:

Step 1: Let's find the length of side b using the ratios of the other two sides we know, as follows:

5.6/14 = 3.2/b

____________

5.6b = 14 * 3.2

5.6b = 44.8

Dividing by 5.6 at both sides:

5.6b/5.6 = 44.8/5.6

b = 8

Step 2: Let's calculate the lenght of side x using the ratios of the other two sides we know once again, this way:

3.2/8 = x/15

___________

8x = 3.2 * 15

8x = 48

Dividing by 8 at both sides:

8x/8 = 48/8

x = 6