Answer:
Base 12m Height 5m
Step-by-step explanation:
Area of a triangle formula A=1/2bh
30=1/2(x)(x-7)
2*30 = 1/2(x)(x-7)*2
60 = x^2 -7x
60 - x^2 + 7x = 0
-60 + x^2 -7x = 0
x^2 -7x -60 =0
x^2 + 5x -12x -60 = 0
x(x+5)-12x-60=0
x(x+5)-12(x+5)=0
(x+5)*(x-12)=0
x+5=0
x-12=0
x=-5
x-12=0
x=12
The final answer is: x= 12,5
get rid of the -5 because -5 does not make sense at a height so turn it into 5
Base: 12m
Height 5m
Answer:
Base:12 Height=5
Step-by-step explanation:
Step 1
Know the formula your using to solve this problem
A=\frac{1}{2} \\ BH
Step 2
Now you look at what you already know
A=\frac{1}{2} \\ B(+7) H(-7)
Step 3
Divide 30 by 1/2
In order to do this you convert \frac{1}{2} \ into a decimal which is 0.5
so now divide 30 by 0.5 which Equals
60
Step 4
Now Multiply all the numbers that equal 60 until finding a solution where one number is 7 less then the number it's being multiplied by
Solution=12 * 5=60
Step 5
Now you that you have you solution you plug this into the formula to find the area
A=\frac{1}{2} \ B(12)H(5) note: It is easier to write 0.5 in place of \frac{1}{2} \ because it will make it easier for you to solve this problem.
Step 6
Now you have everything needed to solve
A=0.5 * 60
A=30m² Base=12 Height =5
