Answer:
Base = 6ft
Height =9ft
Step-by-step explanation:
Area of a triangle: 1/2 x base length x height
Base = b
Height = b+3
27 = 1/2 x b x (b+3)
27/(1/2) = b (b+3)
54= b^2 +3b
0=b^2 +3b -54
- Applying the quadratic formula
For: ax2+ bx + c
a=1 ; b=3 ; c =-54
x =[ -b ± √b²-4ac] /2a
Replacing with the values given:
x =[ -3 ± √(3)²-4(1)-54] /2(1)
x = [ -3± √9 +216] /2
x = [-3 ± √225] /2
x = [ -3 ± 15] /2
Positive:
x = [ -3 + 15] /2 =12/2 = 6
b= 6 ft (base length)
Height =b+3 = 6+3 = 9
ft
Feel free to ask for more if needed or if you did not understand something.
