Question

$\huge \mathfrak \orange{❥QUESTION}$


In ∆DEW, AB || EW. If AD = 4 cm, DE = 12 cm and DW = 24 cm, then find the value of DB


★REQIURED QUALITY ANSWER​

Answer 1

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Answer 2

Answer:

Value of DB = 8 cm in triangle DEW which has AB|| EW

Solution:

Given:

AD = 4cm

DE = 12cm

DW = 24cm

AE = DE – AD = 12 – 4 = 8

Using the BPT theorem we can see that the value of DA/AE=DB/BW

4/8=DB/BW

1/2=DB/BW

DB = 2BW

BW = DW – BW

BW = 24 – DB

Substituting value of DB = 2BW

We get 3DB = 24

DB = 8.

Value of DB = 8 cm in triangle DEW which has AB|| EW