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2 years ago

A right triangle has leg lengths of 9 units and 12 units. Write an equation that can be

Mathematics

1 answer:

LenKa [72]2 years ago

4 0

<h2>The Pythagorean Theorem</h2>

The Pythagorean Theorem: $a^2+b^2=c^2$

<em>a</em> and <em>b</em> are the two legs in a right triangle
<em>c</em> is the hypotenuse (the longest side of a right triangle; opposite the 90° angle
<em>*keep in mind that this theorem applies only to right triangles</em>

<h2>Solving the Question</h2>

We're given:

Legs = 9 units and 12 units
Hypotenuse = <em>c</em>

<em />

Plug these measurements into the Pythagorean theorem:

$a^2+b^2=c^2\\9^2+12^2=c^2$

⇒ Combine like terms:

$81+144=c^2\\c^2=225$

<h2>Answer</h2>

$c^2=225$

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