BatshevaS114548 BatshevaS114548
  • 25-10-2022
  • Mathematics
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Here is a right triangle with a missing side length what is the missing side length

Here is a right triangle with a missing side length what is the missing side length class=

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MaebyP501009 MaebyP501009
  • 25-10-2022

Right Triangles

A right triangle is recognized because it has an interior angle of 90°.

In right triangles, the Pythagora's Theorem is satisfied.

Being a and b the shorter sides (also called legs) of the triangle, and c the longer side (called hypotenuse), then:

[tex]c^2=a^2+b^2[/tex]

The triangle shown in the image has the two legs of values a=15 and b=8. The hypotenuse is c=x, thus:

[tex]x^2=15^2+8^2[/tex]

Operating:

[tex]x^2=225+64=289[/tex]

Solving for x:

[tex]x=\sqrt[]{289}=17[/tex]

x = 17

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