The figures in the pair are similar. Find the missing length.
The image is of two proportionate isosceles triangles with vertical bases. One triangle has its base marked as 6 cm and two sides as 4 cm and 4 cm respectively. The other triangle has its base marked as y and other two sides marked as 6 cm and 6 cm respectively.
The answer is 27.6
To find the missing length in similar figures, we can use the concept of proportions.
In this case, we have two isosceles triangles that are similar. The given triangle has a base of 6 cm and two sides of 4 cm each. The missing triangle has a base of y (which we need to find) and two sides of 6 cm each.
We can set up a proportion to solve for y:
6 cm / 4 cm = y / 6 cm
To solve this proportion, we can cross-multiply and solve for y:
6 cm * y = 4 cm * 6 cm
6y = 24
Dividing both sides by 6:
y = 4 cm
Therefore, the missing length (y) in the triangle is 4 cm.
y/6 = 6/4
solve for y