Did i do this right?
ad , bd , and cd are angle bisectors of the vertex angles of △abc . cf=8 meters and cd=17 meters.

what is de ?

Answer : The value of side DE is, 15 m

Step-by-step explanation :

First we have to determine the side DF.

Using Pythagoras theorem in ΔDFC :

Given:

Side CD = 8 m

Side CF = 17 m

Now put all the values in the above expression, we get the value of side DF.

Now we have to determine the value of side DE.

Side DE = Side DF = 15 m   (By congruent triangle DFB and DEB)

The ΔDFB and ΔDEB are congruent triangles.

Proof:

Side DB = Side DB  (common side)

∠DBE = ∠DBF    (BD is angle bisector, so these angle are always equal)

∠E = ∠F    (equal to 90°)

ΔDFB ≅ ΔDEB    (By SAS congruency)

So, Side DE = Side DF

Hence, the value of side DE is, 15 m

0.038

step-by-step explanation: