Browse · MATH

jmc

geometry intermediate

Problem

Find

A X

in the diagram if

C X

bisects

∠ A C B

.

problem

Solution

The Angle Bisector Theorem tells us that

\frac{A C}{A X} = \frac{B C}{B X}

so

A X = \frac{A C \cdot B X}{B C} = \frac{21 \cdot 30}{45} = 14 .

Final answer

14