Answer:
base = 12 inches
Height = = 10 inches
Explanation:
Given
Area of triangle = 60 sq inches
Let the base =x
Height will be= x-2
Area of triangle = 1/2 base × height
60 =1/2 (x)(x-2)----------------equation 1
60 x 2 = x²-2x
120= x²-2x
x²-2x-120 = 0
by factorization method
x²-12x+10x-120=0
x(x-12)+10(x-12)=0
(x+10)(x-12)=0
X+10 = 0 x-12=0
X=-10 x=12
So either x = -10 or x =12
Checking
Considering positive x = 12
Area = 1/2 (x)(x-2)= ½ (12)(12-2)
60 =1/2 x 120
60 = 60 ……. Satisfied, so it means the value of x i.e. base will be= 12 inches
Height = x-2 =12-2= 10 inches