To draw a circumscribed circle Draw perpendicular bisectors of any of two sides.The point where these bisectors meet is the center of the circle.Mark the center as O.

Then join OA, OB, and OC.

Taking any one OA,OB and OC as radius draw the circumcircle.

Now, from O Draw OM⊥AB and ON⊥AC.

As chord AB and AC are equal,So OM and ON will also be equal.

The reason being that equal chords are equidistant from the center.

AM=MB=1/2 and AN=NC=1/2 [ perpendicular from the center to the chord bisects the chord.]

In Δ OMA and ΔONA

OM=ON [proved above]

OA is common.

MA=NA=1/2 [proved above]

ΔOMA≅ ONA [SSS]

∴ ∠OAN =∠OAM=60° [ CPCT]

In Δ OAN

$\cos60=\frac {AN}{OA}$

$\frac{1}{2}=\frac{\frac{1}{2}}{OA}$

OA=1

∴ OA=OB=OC=1, which is the radius of given Circumscribed circle.

4 0

3 years ago

Dogs are inbred for such desirable characteristics as blue eye color, but an unfortunate by-product of such inbreeding can be th

Agata [3.3K]

Answer:

<h2>Option 2 is the right answer.</h2>

Step-by-step explanation:

We need to check if the two characteristics, <u>having blue eyes and being deaf are independent of each other or not</u>.

The above two characteristics will be independent if $[Probability of being deaf with blue eyes] = {Probability of being deaf } {Probability of having blue eyes}$

Now, the probability of having blue eyes is $\frac{31}{100}$ .

The probability that the Dalmatians will be deaf is $\frac{38}{100}$ .

The probability of being deaf with blue eyes is $\frac{31}{100} \times\frac{42}{100}$ .

Since, 38 is not equals to 42, the two characteristics are not independent.

3 0

3 years ago