In ΔABC, m∠CAB = 60° and AD is an angle bisector with D ∈ BC and AD = 8 ft. Find the distances from D to the sides

Question

In ΔABC, m∠CAB = 60° and
AD
is an angle bisector with D ∈
BC
and AD = 8 ft. Find the distances from D to the sides of the triangle.

Answer:
ft, ft

0

Answers ( No )

    0
    2021-09-10T09:15:14+00:00

    The distance from D to the closest point on either side will be …

    … (8 ft)·sin(60°/2) = 4 ft

    Both distances are 4 ft.

    _____

    It isn’t really clear that you don’t want the distance along line BC; rather, you want the direct shortest distance to the side. For that, sufficient information is given.

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