Two triangles are similar. The ratio of their corresponding side lengths is 3:5. If the length of an altitude of the smaller triangle is 6 cm, what is the length of the corresponding altitude of the larger triangle?
Show answer & explanation
Correct answer: C
Explanation
Ratio of sides = 3 : 5
Height of the smaller triangle = 6 cm
According to the formula:
In similar triangles, the ratio of corresponding heights = the ratio of sides
3 : 5 = 6 : x
x = (6 × 5) / 3
x = 30 / 3 = 10 cm