PLEASE HELP ME :(
If A=1/2 h (b1 +b2) is the formula for the area of a trapezoid, find the height of the trapezoid that has an area of 78 in ^2 and base lengths 5 in and 8 in.

PLEASE HELP ME If A12 h b1 b2 is the formula for the area of a trapezoid find the height of the trapezoid that has an area of 78 in 2 and base lengths 5 in and class=

Respuesta :

Answer:

A. 12in

Step-by-step explanation:

Given parameters:

    Area of trapezoid  = 78in²

     Base lengths = 5in and 8in

Unknown:

Height of the trapezoid = ?

Solution:

         A  = [tex]\frac{1}{2}[/tex] (b₁ + b₂)h

  b₁ and b₂ are 5in and 8in respectively.

 Input the parameters and solve for h;

          78 = [tex]\frac{1}{2}[/tex] (5 + 8)h

         Multiply both sides by 2;

         156  = 13h

           h = 12in

The height of the trapezoid is 12in