Question

Ac and bd intersect at e if angle abd=anglebdc and cd =4ab.Show that bd=5be

Answer 1

Answer:

Step-by-step explanation:

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➡ABD=BDC (given)

➡AEB=DEC (vertically opposite angle)

➡Therefore ∆ABE similar ∆DEC

(AA similarity)

➡therfore, AB/CD=BE/DE---------------1.) [corresponding sides of similar triangles are in proportion]

its given that CD=4AB ➡AB/CD=1/4

Substitute the value of AB/CD=1/4 in equation 1.)

we get,

1/4=BE/DE ➡DE=4BE

➡(BD-BE)=4BE

Or BD= 5BE

HOPE IT HELPS YOU....

Answer 2

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Step-by-step explanation:

https://drive.google.com/file/d/1fWnyPeeTWcW9Ynk9H0HYDICEsydt_Snx/view?usp=sharing