Question

v. The length of AB in the given figure: X Cm BO В С 3 cm 4 cm 6 cm a) 8cm b) 6cm c) 4cm d) 10cm​

Answer 1

Answer:

d) 10 cm

Step-by-step explanation:

Answer 2

Given : Figure

BC = 3 cm

DE = 6 cm

BD = 4 cm

AB = x  cm

To Find : Length of AB

Solution:

in Δ ABC and  Δ ADE

∠A = ∠A   common

∠B = ∠D = 90°

=> Δ ABC ~ Δ ADE   using AA similarity

corresponding sides of similar triangles are in proportion

Hence

AB/AD  = BC/ DE

AD = AB + BD

=> x/(x + 4)  = 3/6

=> x/(x + 4) = 1/2

=> 2x = x + 4

=> x = 4

Length of AB is 4 cm

Correct option is c)  4 cm

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