Question

D is the mid-point of side BC of triangle ABC and E is the mid point of BD. If O is the mid point of AE and area (triangle BOE) = area(triangle ABC)/k, then find the value of k

Answer 1

I'm not sure but..I can b wrong bcz I didn't understand question

Answer 2

k = 8 if area (triangle BOE) = area(triangle ABC)/k,

Step-by-step explanation:

D is the mid-point of side BC

=> Area of ΔABD = (1/2) Area of Δ ABC

E is the mid point of BD

=> Area of Δ ABE = (1/2) Area of ΔABD

=> Area of Δ ABE = (1/2)(1/2) Area of Δ ABC

=> Area of Δ ABE = (1/4) Area of Δ ABC

O is the mid point of AE

=> Area of Δ BOE = (1/2) Area of Δ ABE

=> Area of Δ BOE = (1/2) (1/4) Area of Δ ABC

=>  Area of Δ BOE = (1/8) Area of Δ ABC

=>  Area of Δ BOE =  Area of Δ ABC/8

Area of Δ BOE =  Area of Δ ABC/k

=> k = 8

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