What is the length of the unknown leg in the right triangle?

Mathematics

2 answers:

weqwewe [10]3 years ago

8 0

Answer:

Root 32

Step-by-step explanation:

root 113 squared = 113

113-9^2=113-81=32

To find the original side length, you must find the square root.

Therefore, the answer is root 32.

Hope this helps :-)

Assoli18 [71]3 years ago

7 0

Square root of 32
C^2=b^2 - a^2
And then square root the total number

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Write the standard equation of a circle with center (-2,5) and the point (4,13) on the circle

n200080 [17]

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$\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-2}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{13})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{radius}{r}=\sqrt{[4-(-2)]^2+[13-5]^2}\implies r=\sqrt{(4+2)^2+(13-5)^2} \\\\\\ r=\sqrt{36+64}\implies r=\sqrt{100}\implies r=10 \\\\[-0.35em] ~\dotfill$

$\bf \textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{-2}{ h},\stackrel{5}{ k})\qquad \qquad radius=\stackrel{10}{ r}\\[2em] [x-(-2)]^2+[y-5]^2=10^2\implies (x+2)^2+(y-5)^2=100$