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Licemer1 [7]
3 years ago
8

Use the Pythagorean theorem to find the unknown side of the right triangle.

Mathematics
1 answer:
Nesterboy [21]3 years ago
8 0

The length of hypotenuse is 39.

Step-by-step explanation:

Given,

Vertical side = a = 15

Horizontal side = b = 36

Hypotenuse = c

Using pythagorean theorem

a^2+b^2=c^2\\(15)^2+(36)^2=c^2\\225+1296=c^2\\1521=c^2\\c^2=1521

Taking square root on both sides

\sqrt{c^2}=\sqrt{1521}\\c=39

The length of hypotenuse is 39.

Keywords: square root, addition

Learn more about square roots at:

  • brainly.com/question/9196410
  • brainly.com/question/9178881

#LearnwithBrainly

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▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

Let's solve for value of values of x and y ~

According to Angle sum property of triangles :

\qquad \sf  \dashrightarrow \: 70 \degree + 58\degree + x = 180\degree

\qquad \sf  \dashrightarrow \: x\degree + 128\degree = 180\degree

\qquad \sf  \dashrightarrow \:x =  180\degree - 128\degree

\qquad \sf  \dashrightarrow \: x = 52\degree

Now, solve for y ~

\qquad \sf  \dashrightarrow \: 70\degree + 49\degree + y = 180\degree

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\qquad \sf  \dashrightarrow \:  y =  180  -  119\degree

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Now, by the results we got, we can conclude that :

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