Question

in triangle abc d and e are points on a b and ac respectively such that angle ade is equal to Angle B if a b is equal to 3.8 cm ae is equal to 3.6CM BE is equal to 2.1 cm and BC is equal to 4.2 CM then find de

Answer 1

Solution:

Given: ∠ADE = ∠B,

AD = 3.8 cm, AE = 3.6 cm, BE = 2.1 cm and BC = 4.2 cm

Proof:

In ΔADE ~ ΔABC,

∠A = ∠A (Common)

∠ADE = ∠B (Given)

Therefore, ΔADE ~ ΔABC (AA Criterion)

⇒ AD/AB=DE/BC

⇒ 3.8/(3.6+2.1)=DE/4.2

⇒ 3.8/5.7=DE/4.2

DE = 3.8×4.25.7=2.8

Hence, DE = 2.8 cm

Hope This Helps :)

Answer 2

FØŁŁØW MƏ ❤❤✌✌

$follow \: \: meeeeee$

❤❤