ABC is a right-angled triangle. AD is the bisector of angle BAC. Angle DAC=18. AB=20cm. Find the length of CD.

Question

mathstudent55 · Answer

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Which angle is the right angle?

campbell_st · Answer

angle BAD  = 18 since AD bisects the angle

use the tan ratio to find BC with an angle of 36 in triangle ABC

then find BD with an angle of 18 in triangle ABD

the difference between the 2 measurements will be DC

anonymous · Answer

|dw:1353610256185:dw| It basically looks like that and you have to find the length of X.

campbell_st · Answer

|dw:1353610263536:dw|

find a using tan an angle of 36 and adjacent side of 20

then find b using tan an angle of 18 and an adjacent side of 20

the value of xcan be found by   x = a - b