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nlexa [21]
3 years ago
6

Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.

Mathematics
1 answer:
zepelin [54]3 years ago
4 0

see the attached figure with letter to better understand the problem    

we know that

If triangle ABC is similar to triangle PQR

then

the ratio of the corresponding sides are proportional

so

substitute the values

therefore

the answer is the option C

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ANSWER

The radius is 4

EXPLANATION

The given equation is:

{x}^{2}  +  {y}^{2}  - 10y + 6x + 18 = 0

We complete the square to get the expression in standard form:

{x}^{2}  + 6x +  {y}^{2}  - 10y  + 18 = 0

{x}^{2}  + 6x +  9 + {y}^{2}  - 10y  + 25  =  - 18 + 9 + 25

We factor using perfect squares to get:

{(x + 3)}^{2}  +  {(y - 5)}^{2} =  16

This implies that,

{(x + 3)}^{2}  +  {(y - 5)}^{2} =   {4}^{2}

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3 years ago
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