Find the sides of a triangle if its midlines are 6 cm, 7 cm, and 9 cm.
| March 9, 2021 | education
The middle line of a triangle is the line segment that connects the midpoints of its lateral sides. It is parallel to the third side and equal to half its length:
KM = AC / 2;
MH = AB / 2;
KН = BC / 2.
Therefore, to calculate the length of the sides of a triangle, it is necessary to multiply the length of its middle lines by two:
AC = 2 * KM;
AC = 2 * 6 = 12 cm;
AB = 2 * MH;
AB = 2 * 7 = 14 cm;
BC = 2 * KН;
BC = 2 * 9 = 18 cm.
Answer: the sides of the triangle are equal to AС = 12 cm, AB = 14 cm, BC = 18 cm.
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