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Construct a triangle , given: and . Measure the lengths of AB and AC.

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Data insufficient

answer is C.

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Detailed Solution

Concept: Triangle construction would be simple when the measurements are given to us based on different properties such as SSS, SAS, and ASA.
First, draw a line segment

of length

.
Draw an angle of

from point

.
From Ray AX cut off the line segment

.
Join C to D.
Draw side bisector of

.
Lengthen DC's side bisector until it intersects Ray BX at point A.
Join

is the required triangle.

When measuring, we get

Hence, the correct answer is option 3)

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