Trigonometry Examples

$9$ , $40$ , $41$

Step 1

Check if the three sides make the pythagorean theorem true.

$9^{2} + 40^{2} = 41^{2}$

Step 2

Determine if $9^{2} + 40^{2} = 41^{2}$ is true.

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Step 2.1

Simplify each term.

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Step 2.1.1

Raise $9$ to the power of $2$ .

$81 + 40^{2} = 41^{2}$

Step 2.1.2

Raise $40$ to the power of $2$ .

$81 + 1600 = 41^{2}$

Step 2.2

Add $81$ and $1600$ .

$1681 = 41^{2}$

Step 2.3

Raise $41$ to the power of $2$ .

$1681 = 1681$

Step 3

Since $1681 = 1681$ , the three sides form a right triangle.

Right triangle