Question

a triangle has a height of 24 centimeters and a base length of 10 centimeters.A similar triangle has a base length of 5 centimeters. What is the height of the similar triangle?

Answer 1

Since the triangles are similar, we know that the sides are proportional. Therefore, we can set up a proportion to solve for the missing side:

24 cm/10 cm=x cm/5 cm

*make sure you match up the height and base accordingly when setting it up*

(24)(5)=(10)x
120=10x
x=12

The height is 12 centimeters.