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mr Goodwill [35]
3 years ago
6

In a right triangle, the length of the hypotenuse is 20 inches and the length of one leg is 15 inches. What is the length of the

other leg in inches?
Mathematics
1 answer:
VikaD [51]3 years ago
7 0
Solutions 

To solve this problem we have to use the Pythagorean theorem. You can only use the Pythagorean theorem in Right Triangles. The longest side of the triangle is called the "hypotenuse". C² is the longest side so it is the hypotenuse . To calculate c² we have to do α² + β² = c². 

<span>Given 

</span><span>In a right triangle, the length of the hypotenuse is 20 inches and the length of one leg is 15 inches. 

</span>c^2 = 20 in &#10;

&#10;a^2 = 15 in
<span>
</span>&#10;b^2 = Unknown 

------------ Calculations 
<span>
</span>b^2 = c^2 - a^2  

b^2 = c^2(20) - a^2(15) 

b^2 = 400 - 225 

b^2 = 175 

b =  \sqrt{175} 

b = 13.2287565553 &#10; 


<span>

</span>
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Sindrei [870]
ANSWER

a_{55}=161


EXPLANATION

The general term for the sequence is


a_n=-1+3(n-1)


To find the 55th term, we have to substitute
n = 55
in to the general term and simplify.



This implies that,

a_{55}=-1+3(55-1)



a_{55}=-1+3(54)




a_{55}=-1+162



a_{55}=161


Therefore the 55th term is 161.
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