In a right triangle δabc, the length of leg ac = 5 ft and the hypotenuse ab = 13 ft. find the length of the angle bisector of angle ∠a.

Check the picture below.

bearing in mind that an angle bisector segment will cut the angle A in two equal halves, thus θ will be half of A.

2.83941151 would be the answer you're looking for! : )

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2