Answer:
Step-by-step explanation:
h=b+2(assume h is hieght and b is base)
b*(b+2)=60
bb+2b=60
b=-1+√61
h=1+√61
Answer:
base=10
height=12
Step-by-step explanation:
Area of triangle formula is given by: A = (1/2)*b*h
where b: base of the triangle
h: height of the triangle
Given that: h=b+2
A= 60 square yards
Solution:
60= (1/2)*b*(b+2)
[tex]\frac{b(b+2)}{2}[/tex] = 60
b²+2b=120
b²+2b-120=0
We got the quadratic equation: b²+2b-120=0
solve it to find b:
Let x: coefficient of b² (x=1)
Let y: coefficient of b (y=2)
Let z: constant (z= -120)
discriminant= y² - 4xz = 4 - 4(1)(-120) = 484
discriminant>0 so the equation has two roots:
b1= (-y-redical discriminant)/2x = (-2-redical(484))/2 = -12
b2= (-y+redical discriminant)/2x = (-2+redical(484))/2 = 10
b1= -12 is rejected because the base can't be negative
So b2=base=10
Now that we found the base, substitute to get the height:
h= b+2 = 10+2 =12
So height=12
