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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]2 years ago
7 0
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
Vera_Pavlovna [14]2 years ago
4 0

Answer:

here 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

\

Step-by-step explanation:

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Step-by-step explanation:

The question is asking us how much each pair of socks cost. With the information we are given, we know that there are 5 pairs and that they all cost the same amount. If the total were just the 5 socks, we could easily divide the total by 5 to get the price of each pair but that's not the case. The soccer ball is included in the final cost. To overcome this, we just have to subtract the soccer ball's cost ($45) from the total.

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Simpler Explanation:

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