+0  
 
0
33
1
avatar

The measure of one of the smaller base angles of an isosceles trapezoid is 60 degrees. The shorter base is 5 inches long and the altitude is 3 sqrt 3 inches long. What is the number of inches in the perimeter of the trapezoid?

 Nov 10, 2020
 #1
avatar+432 
+1

The measure of one of the smaller base angles of an isosceles trapezoid is 60 degrees. The shorter base is 5 inches long and the altitude is 3 sqrt 3 inches long. What is the number of inches in the perimeter of the trapezoid?

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The length of the longer base is    2(3√3 / √3) + 5 = 11

 

The length of the leg(s) is              sqrt[(3√3)2 + 33] = 6

 

The perimeter is                        P = 5 + 11 + 2*6 = 28 inches ☺

 Nov 10, 2020

34 Online Users

avatar
avatar
avatar