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A right triangle has legs of lengths 6 m and 9 m. What is the length of the hypotenuse?

 Feb 20, 2015

Best Answer 

 #1
avatar+109 
+10

Pythagorean's Theorem states that, with respect to triangles:

 

$${{\mathtt{A}}}^{{\mathtt{2}}}{\mathtt{\,\small\textbf+\,}}{{\mathtt{B}}}^{{\mathtt{2}}} = {{\mathtt{C}}}^{{\mathtt{2}}}$$

 

Where A, and B, are side lengths, and C is the hypotenuse. Since you know both A, and B, in terms of meters, we're left with one variable. 

 

$${\mathtt{36}}{\mathtt{\,\small\textbf+\,}}{\mathtt{81}} = {{\mathtt{C}}}^{{\mathtt{2}}}$$

 

Solving for C gives us: 

 

$${\mathtt{C}} = {\sqrt{{\mathtt{117}}}}$$

 Feb 20, 2015
 #1
avatar+109 
+10
Best Answer

Pythagorean's Theorem states that, with respect to triangles:

 

$${{\mathtt{A}}}^{{\mathtt{2}}}{\mathtt{\,\small\textbf+\,}}{{\mathtt{B}}}^{{\mathtt{2}}} = {{\mathtt{C}}}^{{\mathtt{2}}}$$

 

Where A, and B, are side lengths, and C is the hypotenuse. Since you know both A, and B, in terms of meters, we're left with one variable. 

 

$${\mathtt{36}}{\mathtt{\,\small\textbf+\,}}{\mathtt{81}} = {{\mathtt{C}}}^{{\mathtt{2}}}$$

 

Solving for C gives us: 

 

$${\mathtt{C}} = {\sqrt{{\mathtt{117}}}}$$

Sorasyn Feb 20, 2015
 #2
avatar+118587 
+5

Good answer but don't forget the units.  In this case metres.  :)

 Feb 21, 2015

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