Question

state and prove thales theorem

Answer 1

Answer:

In geometry, Thales's theorem states that if A, B, and C are distinct points on a circle where the line AC is a diameter, then the angle ∠ABC is a right angle.

Step-by-step explanation:

Converse of Basic Proportionality Theorem: If a line divides any two sides of a triangle in the same ratio, then the line must be parallel to the third side.

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#BAL

Answer 2

Answer:

Step-by-step explanation:

if a lind drawn parallel to a side of a triangle than it divides other two to sides propotionaly

data - in triangle abc bc parallel de

to proove - AD/DB = AE/EC

Construction - draw CD & EB & DM perpendicular AE & EN perpendicular AD

Proof statement reason

in ar(ade)

ar(BDC) 1/2*EN*AD

1/2*BD*EN

AD/EC-1

IN AR(ADE)

AR(DOE) 1/2*DM*AE

1/2*CE*DM

AE/CE - 2

FROM 1&2

AR(ADE) IS CONGARANT TO AR(BOC)

AD/DB=AE/EC

HENCE PROVED