Answer:
Circumcenter of a triangle is formed by joining the perpendicular bisectors of three sides of triangle.
As we draw perpendicular bisectors of three sides, they will intersect at one point(say O) which lies inside the circle.
From that point of intersection, draw a circle touching each of the vertex of a triangle and we get a circumcircle. And O becomes centre of the circle.
Hence, circumcenter lies inside the triangle.
(x-21)/4
x is the number subtract 21 and divide by 4
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Step-by-step explanation:
Answer:
Proof with Statement and Reason is below.
Step-by-step explanation:
Given:
In The Figure
BF ⊥ AC,CE ⊥ AB
To Prove:
Δ ACE ≅ Δ ABF
Proof:
In Δ ACE and Δ ABF
STATEMENT REASONS
1. BF ⊥ AC,CE ⊥ AB Given
2. m∠ BFA = 90°,m∠ CEA = 90° { Perpendicular Lines BF ⊥ AC,CE ⊥ AB }
3. AE = FA Given
4. m∠ A = m∠ A {Reflexive property}
5. Δ ACE ≅ Δ ABF By AAS Congruence Postulate
