Question

3. In a triangle
DEW, ABlew, if do=4cm, D E = 12 cm and
Dw=24cm then find the value of 'DB's​

Answer 1

Answer:

First mark brainleast

Answer 2

$\Large\mathtt\green{ }\huge\underline\mathtt\red{Answer : }$

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

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

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

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

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