The answer is: " 10 yd. " . _______________________________________________________ The height of the triangle is: " 10 yd " . _______________________________________________________ Explanation: _______________________________________________________ The formula for the area, "A", of a triangle is:
→ " A = (b * h) / 2 " ;
in which: " A = area (in square units; in this case; "yd² " ;
= " 60 yd² " {given} ;
"b = base length = 12 yd" {given} ;
"h = [perpendicular] height ; for which we shall solve; _______________________________________________________
→ A = (b * h) / 2 ;
→ Rearrange the equation to isolate "h" on one side of the equation; since we need to solve for "h" (height) ;
→ Multiply each side of the equation by "2" ;
→ 2 * A = 2 * [ (b * h) / 2 ] ;
to get:
→ 2A = b * h ;
↔ b * h = 2A ;
Divide each side of the equation by "b" ; to isolate "h" on one side of the equation;
→ (b * h) / b = 2A / b ;
→ h = 2A / b ;
Now, plug in our given values for "A" and "b" ; to solve for "h" ;
→ h= (2* 60 yd²) / (12 yd) ;
= (120 yd²) / (12 yd).
= 10 yd.
→ h = 10 yd. _______________________________________________________ The answer is: " 10 yd. " . _______________________________________________________ The height of the triangle is: " 10 yd " . _______________________________________________________
