Answer:
the height is 18cm
Explanation:
If two objects have the same shape, they are called "similar." When two figures are similar, the ratios of the lengths of their corresponding sides are equal. To determine if the triangles shown are similar, compare their corresponding sides. Are these ratios equal?
given that
Triangle 1 (first triangle)
base = 10cm
height = 15cm
Triangle 2 (second triangle)
base = 12cm
height = unknown
base 1 / base 2 = height 1 / height 2
10cm / 12cm = 15cm / xcm
xcm = 18cm
height = 18cm
