ΔABC is an isosceles triangle with AB = BC= 6 units. D and E are the midpoints or AB and BC, respectively. The length of AC is 8

Question

Margaret [11]

2 years ago

12

ΔABC is an isosceles triangle with AB = BC= 6 units. D and E are the midpoints or AB and BC, respectively. The length of AC is 8

units. the length of DE is ____ units

Mathematics

2 answers:

nydimaria [60] · Answer 1 · 2022-08-12T19:36:20+03:00

There are two triangles that exist in this problem. First is the given triangle ABC, witch AB = BC = 6 and AC = 8
Next is the smaller triangle formed by connecting points D and E; triangle EAD, with EA = AD = 3 and the length of DE is unknown.
Because these triangles are similar, a simple ratio may be set up in order to calculate DE.
DE / AC = EA / AB
DE = 3/6 * 8
DE = 4 units