In order to begin we must start off with the formula for the area of a triangle, which is a=1/2b(h) where a is area, b is base, and h is height.
In this scenario, we know that the area is 45cm^2 and the base is 2h+12 (since it is twice it’s height plus twelve). We can plug this into the area equation and then proceed to solve out accordingly.
a=1/2b(h)
45=1/2(2h+12)(h)
90=(2h+12)(h)
90=2h^2 + 12h
0= 2h^2 + 12h - 90
Simplify by dividing the two out.
h^2 + 6h - 45 = 0.
Now plug into the quadratic formula (with a=1, b=6, and c=-45) as shown in the image below.
After plugging the equation in and solving, we come to the idea that h is roughly equal to 4.34. We can now plug this back into the triangle area formula to solve out for b.
a=1/2b(h)
45=1/2(2h + 12)(h)
45=1/2(20.69)(4.34)
45=45.
In conclusion;
The height is ≈ 4.34
The base is ≈ 8.68
Hope this helps :)
Answer:
{ 1,2,3,4,5,6}
Step-by-step explanation:
Answer:
Horizontal side: 7 ft
Vertical side: 12 ft
Area: 286 ft
Step-by-step explanation:
horizontal: 25 - 18 = 7
vertical: 10 + 2 = 12
area= (25x12) - (2x7) = 286
Answer:
17
Step-by-step explanation:
8*8 = 64
64 - 47 = 17
Answer: 6
Step-by-step explanation:
You would divide the number by the other number to get the awnser
