Math, asked by sutapaahan, 5 months ago

If a wire,in the shape of a square,is re-bent into an equilateraltriangle, then the perimeter of both shapes remain same, but area of the square is less than that of the triangle.Stae true or false

Answers

Answered by SWEETYASH
1

Given : O is the circumcentre of ∆ABC.

OD ⊥ BC

OB is joined

To prove : ∠BOD = ∠A

Construction : Join OC.

Proof : Arc BC subtends ∠BOC at the centre and ∠BAC at the remaining part of the circle

∴ ∠BOC = 2∠A …(i)

In right ∆OBD and ∆OCD Side OD = OD (Common)

Hyp. OB = OC (Radii of the circle)

∴ ∆OBD ≅ ∆OCD (RHS criterion)

∴ ∠BOD = ∠COD = 12 ∠BOC

⇒ ∠BOC = 2∠BOD …(ii)

From (i) and (ii)

2∠BOD = 2∠A

∴∠BOD = ∠A

Answered by aarchi9079
3

Answer:

False

here u go ur answer is here

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