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3 years ago

For this right triangle drawn on the coordinate plane what calculation could be used to find the length of a C?

Mathematics

2 answers:

Crazy boy [7]3 years ago

6 0

Answer:

AB^2 + BC^2 = AC^2

Step-by-step explanation:

the pythagorean theorem( a^2 + b^2 = c^2) is used to solve for the hypotenuse which in this case is AC

^2 means squared incase you didnt know

hope this helped!

Yuki888 [10]3 years ago

5 0

A^2 + b^2 = c^2 is the equation you use

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Answer:

Option B. (x+3) ^2+(y+4)^2=25

Step-by-step explanation:

we know that

The equation of the circle in standard form is equal to

$(x-h)^{2}+(y-k)^{2}=r^{2}$

where

(h,k) is the center and r is the radius

step 1

Find the radius of the circle

Remember that the distance of the center and any point on the circle is equal to the radius of the circle

Find the distance between the points (-3,-4) and (0,0)

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

substitute

$r=\sqrt{(0+4)^{2}+(0+3)^{2}}$

$r=\sqrt{(4)^{2}+(3)^{2}}$

$r=\sqrt{25}$

$r=5\ units$

step 2

Find the equation of the circle

$(x-h)^{2}+(y-k)^{2}=r^{2}$

the center is the point (-3,-4) and the radius is r=5 units

substitute

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

$(x+3)^{2}+(y+4)^{2}=25$

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