Question

An angle bisector of a triangle divides the opposite side of the triangle into segments 1.5 cm and 1 cm long. A second side of the triangle is 2.6 cm long. Find all possible lengths of the third side of the triangle. Round answers to the nearest tenth of a centimeter. (Hint: Draw a picture of the triangle, label one side with 2.6 cm, and solve for the other side. Then, move the 2.6 cm to the other side and solve.)
will give medal!

Answer 1

please answer

Answer 2

Have you drawn a picture of the triangle?

Answer 3

i dont know how

Answer 4

can you explain it to me

Answer 5

these are two cases .
you know 3 values you have to find forth one only

Answer 6

there is property of angle bisector of triangle

Answer 7

@ramit.dour Hmm..., did you assume that triangles ABD and ACD are similar?

Answer 8

no!

Answer 9

so do I have to find AC and AB

Answer 10

yes AC for first case and AB for second case

Answer 11

the ratio of sides containing angle which is bisected is equal to ratio of side intersected by angle bisector .

Answer 12

wait let me solve then tell me if I am right

Answer 13

nvm solve it

Answer 14

nvm?

Answer 15

nevermind

Answer 16

because i want to see your steps

Answer 17

1.733 and 3.9

Answer 18

exactly what i got but these are the choices:

a.
12.5 cm or 4.2 cm
c.
4.5 cm or 12.5 cm
b.
11.6 cm or 4.2 cm
d.
4.5 cm or 11.6 cm

Answer 19

:O

Answer 20

can you help