AB is the midline of triangle DEC (AB || DC) Find the perimeter of triangle DEC if the perimeter of triangle ABE is 16cm.

univerkov | March 12, 2021 | education

Since AB is the middle line of the triangle, then DE = 2 * AE, CE = 2 * BE, DC = 2 * AB.

Pabe = AE + BE + AD = 16 cm.

Pdec = DE + CE + DC = 2 * AE + 2 * BE + 2 * AB = 2 * (AE + BE + AB) = 2 * Pabe = 2 * 16 = 32 cm.

Answer: Pdec = 32 cm.

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