In triangle MPK, MK = 35 MP = 20 PK = 25, the segment DE is parallel to MK.
| July 1, 2021 | education
In triangle MPK, MK = 35 MP = 20 PK = 25, the segment DE is parallel to MK. Find the perimeter of the triangle DPE if EK = 20cm.
Since DE is parallel to MK, triangles DEP and MPK are similar. Means
DP / MP = PE / PK = DE / MK;
PE = PK – EK = 25 – 20 = 5;
DP = MP * PE: PK = 20 * 5: 25 = 4;
DE = PE * MK: PK = 5 * 35: 25 = 7;
Perimeter of triangle DPE:
P = DP + PE + DE = 4 + 5 + 7 = 16.
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