The base of a triangle is 4 inches more than 8 times its height. The area of the triangle is 812 square inches
Find the base and height.

12

Step-by-step explanation:

The area of a triangle is given by A=1/2bh, and from the first line give sus b=4+4h. Therefore we get A=(1/2)(4+4h)h=12. Or (2+2h)h=12. We can simplify further by dividing both sides by 2, and we get (h+1)h=6 or multiplying out h^2+h=6 which gives h^2+h-6=0. This we can factor into (h+3)(h-2)=0 or h=2, or -3. We have a positive hight, therefore, h=2 which gives us a base of b=4+4*2=12. So a base of 12inches. and a hight of 2 inches. We can plug this into the original area formula and see we get an answer of 12

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