Answer:
[tex]\boxed {\boxed {\sf 24 \ yards}}[/tex]
Step-by-step explanation:
The formula for a triangle's area is:
[tex]a= \frac{1}{2} bh[/tex]
We know the area is 36 square yards and the base is 3 yards.
[tex]a= 36 \ yd^2 \\b= 3 \ yd[/tex]
Substitute the values into the formula.
[tex]36 \ yd^2 = \frac{1}{2} (3 \ yd )h[/tex]
Divide by 1/2 or multiply both sides by 2.
[tex]2 * 36 \ yd^2 = \frac{1}{2} (3 \ yd )h *2[/tex]
[tex]72 \ yd^2= (3 \ yd)h[/tex]
We are trying to solve for the height, so we must isolate that variable. h is being multiplied by 3. The inverse of multiplication is division, so we must divide both sides by 3 yd.
[tex]\frac {72 \ yd^2}{3 \ yd}= \frac{(3 yd) h}{3 \ yd}[/tex]
[tex]24 \ yd =h[/tex]
The height of the triangle is 24 yards.
