# Find the Ratio of their Corresponding Base :

Given that the ratio of altitudes of two triangles is 4:5, ratio of their areas is 3:2. The ratio of their corresponding base is

- 5:8
- 8:5
- 15:8
- 8:15

**Answer is (3): 15:8**

**Explanation:-**The ratio of altitudes of two triangle = 4: 5

The ratio of their areas = 3: 2

Area of a triangle = height x base/2

base = area of triangle x 2/height

Then, the ratio of their base = (3 x 2/4)/(2 x 2/5)

= 3 x 5/2 x 4

= 15/8

= 15: 8

Hence, the answer is (3) 15: 8.