First let us assign the variables for the two lengths:
x = 1st integer
x + 1 = 2nd consecutive integer = the
hypotenuse of the right triangle
The 2nd consecutive integer should be the hypotenuse
since its value should be highest among the three sides.
Now using the hypotenuse formula we calculate for x:
(x + 1)^2 = 5^2 + x^2
x^2 + 2x + 1 = 25 + x^2
2x + 1 = 25
2x = 24
x = 12 m
So other integer is
x + 1 = 13 m
Therefore the other sides are 12 m and 13 m.
The first 4 is ten times as great at the other.
The first 4 is in the thousands place, which means that it is equal to 4,000. The next 4 is in the hundreds place, which makes it worth 400. If you divide the first by the second, you get how much greater it is.
4,000/400 = 10 times.
Yes bc it all goes up by the same numbers
Answer:
A.
Step-by-step explanation:
A.
B.
C.
D.
Area of a triangle = 1/2 * b * h
b = base
h = height
We know:
h = x
b = 4x
Area = 338ft^2
Let's plug these numbers into the Area formula above.
338ft^2 = 1/2 * 4x * x
First, let's divide both sides by 1/2
676ft^2 = 4x * x
Let's simplify the right side.
676ft^2 = 4x^2
Take the sqrt of both sides.
26 = 2x
Divide each side by 2
13 = x
Remember, the height = x = 13 feet