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RHS Criteria for Congruency

46. The circu...

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46. The circumcenter of a triangle ABC is O. Prove that angle OBC + angle BAC =90^°

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Q. The circumference of a

Δ A B C

is O. prove that

∠ O B C + ∠ B A C = 90^{\circ}

.

Q. Question 13
The circumcentre of the

Δ A B C

is O. Prove that

∠ O B C + ∠ B A C = 90^{\circ}

.

Q. If the bisectors of the angles

∠ A B C

∠ A C B

of a triangle ABC meet at a point O, then Prove that

∠ B O C = 90^{o} + \frac{1}{2} ∠ B A C

O

is an interior point of

△ A B C

; Let's prove that

∠ B O C \geq ∠ B A C

BC is a chord with centre O. A is a point on an arc BC as shown in the figure. Prove that:

∠ B A C + ∠ O B C = 90^{\circ}

, if A is the point on the major arc

(ii)

∠ B A C - ∠ O B C = 90^{\circ}

, if A is the point on the minor arc.
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