In the given figure, DE || BC. If AE = 5 cm,
EC = 2.5 cm and AD = 8 cm, then find BD
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In triangles ABC and ADE,
AD/DB = DE/BC
2.4/DB = 2/5
5 × 2.4 = 2 × DB
12 = 2 × DB
6 cm = DB.
In triangle ABC,
AD/DB = AE/EC
2.4/6 = 3.2/EC
2.4 × EC = 3.2 × 6
2.4 × EC = 19.2
EC = 19.2/2.4 * 10
EC = 192/24
EC = 8 cm.
Therefore, BD = 6cm and CE = 8cm.
Answered by
1
Answer:
Here is the answer
1) It is given that Δ ABC AND DE ∥ BC
We have to find AC,
Since, AD = 6 cm,
DB = 9 cm and AE = 15 cm.
AB = 15 cm.
6x = 72 cm
x = 72/6 cm
x = 12 cm
Hence, AC = 12 + 8 = 20.
Step-by-step explanation:
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