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Goryan [66]
3 years ago
9

The hypotenuse of a right triangle is 5 feet. One leg of the triangle is 3 feet. What is the length of the other leg (rounded to

the nearest hundredth)?
Mathematics
1 answer:
olga2289 [7]3 years ago
7 0

Answer:

4 feet

Step-by-step explanation:

The formula to solve for the hypotenuse is

<em>hyp</em><em>^</em><em>2</em><em>=</em><em> </em><em>side</em><em>^</em><em>2</em><em>+</em><em>side</em><em>^</em><em>2</em>

But in this question, we don't have to solve for the hypotenuse so we do the opposite. Let's name the given side, side a and the other side, side b

With the given hypotenuse and one side we use this formula:

<em>side</em><em>^</em><em>2</em><em>=</em><em>hyp</em><em>^</em><em>-</em><em>side</em><em>^</em><em>2</em>

Hypotense = 5 feet

Side b = <em>hyp</em><em>^</em><em>2-side</em><em>^</em><em>2</em>

<em>Side</em><em> </em><em>b</em><em> </em><em>=</em><em> </em><em>5</em><em>^</em><em>2</em><em> </em><em>-</em><em> </em><em>3</em><em>^</em><em>2</em>

<em>Side</em><em> </em><em>b</em><em> </em><em>=</em><em> </em><em>25</em><em> </em><em>-</em><em> </em><em>9</em>

<em>Side</em><em> </em><em>b</em><em> </em><em>=</em><em> </em><em>16</em>

<em>Side</em><em> </em><em>b</em><em> </em><em>=</em><em> </em><em>sqrt</em><em> </em><em>of</em><em> </em><em>16</em>

<em>B</em><em> </em><em>=</em><em> </em><em>4</em><em> </em><em>feet</em>

Therefore <em>B</em><em>=</em><em> </em><em>4</em><em> </em><em>feet</em>

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