Question 99
Let the Height be x
so the base is x+5.
Area of a triangle = 1/2 (b*h).
Plugging in the values
1/2((x+5)*(x))=75.
multiplying by 2 on either sides, we get.
x2+5x=150.
solving the equation by completing the square method.
x2+5x =150
5*1/2=(5/2)2
gives us x2+5x+25/4=(150+25/4)2
(x+5/2)2 =sqroot of 625/4
giving us x+5/2 = 25/2
therefore x = -5/2(plus or minus)25/2
since we don't want a negative value. We take
-5/2+25/2. giving us 10 as the value for x, which is the height.
Plugging in the value for x as 10 in the 1st equation gives us the base as 15.