Construction of triangle when two sides and median to second side is given
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Draw a line AB equal in length to the median of the desired triangle.
Draw line BC equal in length to AB.
Draw an arc, whose radius equals Side 1 of the desired triangle, with its center at A, such that it intersects with an arc, whose radius equals Side 2 of the desired triangle, with its center at C .
Draw an arc, whose radius equals Side 2 of the desired triangle, with its center at A, such that it intersects with an arc, whose radius equals Side 1 of the desired triangle, with its center at C.
Draw line DE. Note that DB equals BE because triangles ABD and BCE are congruent.
Triangle ADE is the desired triangle.
Draw line BC equal in length to AB.
Draw an arc, whose radius equals Side 1 of the desired triangle, with its center at A, such that it intersects with an arc, whose radius equals Side 2 of the desired triangle, with its center at C .
Draw an arc, whose radius equals Side 2 of the desired triangle, with its center at A, such that it intersects with an arc, whose radius equals Side 1 of the desired triangle, with its center at C.
Draw line DE. Note that DB equals BE because triangles ABD and BCE are congruent.
Triangle ADE is the desired triangle.
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