Question

In triangle dew, ab||ew. if ad=4cm de=12cm and dw=24cm, then find the value of db.

Answer 1

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Answer 2

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 $\frac{D A}{A E}=\frac{D B}{B W}$

$\begin{array}{l}{\frac{4}{8}=\frac{D B}{B W}} \\ \\{\frac{1}{2}=\frac{D B}{B W}}\end{array}$

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