+0  
 
0
14
1
avatar+355 

Given an isosceles trapezoid with bases of 8 and 18 and an area of 120 square units, what is the number of units in the length of one of the non-parallel sides?

 Mar 18, 2024
 #1
avatar+945 
0

 

Given an isosceles trapezoid with bases of 8 and 18 and an area of 120 square units, what is the number of units in the length of one of the non-parallel sides?  

 

Area of a trapezoid is the height times half the sum of the top base plus the bottom base. 

 

                                                 A  =  (h) • (btop + bbottom) / 2  

 

                                             120  =  (h) • 26 / 2  

 

from this we get                         h  =  120 / 13  =  9.2308   

 

The height dropped from the top left corner intersects the bottom base at 5 from the left.  

The non-parallel side of the trapezoid is the hypotenuse of the right triangle thus formed.  

 

Use Pythagoras Theorem          c2  =  (9.2308)2 + (5)2  =  110.207  

 

                                               side  =  sqrt(110.207)  =  10.5   

 

When I was doing this on the calculator, I didn't round the numbers.  

.

 Mar 19, 2024

7 Online Users

avatar
avatar
avatar
avatar