Fill in the blank. Given O below, you can conclude that xz is congruent to
2 answers:
Answer : The XZ is congruent to AC.
Step-by-step explanation :
First we have to prove ΔOBC and ΔOYX are congruent triangles.
Proof:
Side OC = Side OX (radius of same circle)
Side OB = Side OY (equal to 22)
∠B = ∠Y (equal to 90°)
ΔOBC ≅ ΔOYX (By SAS congruency)
So, Side BC = Side YX (By CPCT)
Similarly, Side AB = Side ZX
Or we can say that,
Chord XZ = Chord AC
Hence, the XZ is congruent to AC.
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Answer:
54 cm
Step-by-step explanation:
The area (A) of an equilateral triangle is
A = ( s is the side length ) then
= 81
( multiply both sides by 4 to clear the fraction )
s² = 324
( divide both sides by
)
s² = 324 ( take the square root of both sides )
s = = 18
Thus
perimeter = 3 × 18 = 54 cm