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If the ratio of the angle bisector segme...

If the ratio of the angle bisector segments of the two equiangular triangles are in the ratio of 3:2 then what is the ratio of the corresponding sides of the two triangles?

A

` 2:3`

B

`3:2`

C

`6:4`

D

`4:6`

Text Solution

AI Generated Solution

To solve the problem, we need to find the ratio of the corresponding sides of two equiangular triangles given that the ratio of the angle bisector segments of these triangles is 3:2. ### Step-by-Step Solution: 1. **Understanding the Problem**: We have two equiangular triangles (triangles with equal angles). We are given that the ratio of the lengths of their angle bisectors is 3:2. 2. **Using the Property of Similar Triangles**: In similar triangles, the ratio of the lengths of corresponding segments (like angle bisectors, medians, altitudes, etc.) is equal to the ratio of the lengths of their corresponding sides. ...
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