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 :)
An equivalent statement will be if lines L and K intersect, then they are not parallel.
<h3>Parallel lines</h3>
Parallel lines are lines that do not meet. The angle between the parallel lines is 0 degrees
The statement if line L is parallel to line K, then they will never intersect is true and an equivalent statement will be if lines L and K intersect, then they are not parallel.
This is determined using the contrapositive statements
Learn more on parallel lines here: brainly.com/question/24607467
Answer:
Step-by-step explanation:
<u>Total outcomes:</u>
<u>Outcomes with same numbers on both dice:</u>
<u>Outcomes with different numbers on both dice:</u>
<u>Probability of different numbers on both dice:</u>
Can you put a picture of the passage
Answer:
Nope
Step-by-step explanation:
If it is a square garden, all sides are equal. Area would be 17x17 and that would equal
not 34