9514 1404 393
Answer:
- 125 in²
- 676 km²
- 20 square units
Step-by-step explanation:
The Pythagorean theorem tells you the square on the hypotenuse is equal to the sum of the squares on the other two sides. (This is the version you use for problem 2.)
This also means the square on one side is the difference between the square on the hypotenuse and the square on the other side. (Use this version for problems 1 and 3.)
1. ? = 200 in² -75 in² = 125 in²
2. ? = 576 km² + 100 km² = 676 km²
3. ? = 36 square units - 16 square units = 20 square units
Answer:
74.4 (llllllllllll ignore this i need 20 characters to answer)
Answer:
Length = 21
Width = 16
Step-by-step explanation:
We know that the formula for perimeter is:
P=2W+2L
And we also know that:
L=W+5
So then we put all that we know in the formula:
74=2W+2(W+5)
Now we expand the brackets and do some algebra:
74=4W+10 (-10)
64=4W (÷4)
16=W
Now that we know the width we can pop that into the length equation:
L=16+5
L=21
Answer:
Step-by-step explanation:
Let a be the length of the altitude, then from the given triangles, applying the basic proportionality theorem, we get

⇒
⇒
⇒
⇒
Thus, the length of altitude is: 12 cm.
Now, 
⇒
⇒
Also, 
⇒
⇒
Thus, the lengths of the legs of this triangle are 14.83 and 20 cm.
Given

We have to set the restraint

because a square root is non-negative, and thus it can't equal a negative number. With this in mind, we can square both sides:

The solutions to this equation are 7 and -2. Recalling that we can only accept solutions greater than or equal to -1, 7 is a feasible solution, while -2 is extraneous.
Similarly, we have

So, we have to impose

Squaring both sides, we have

The solutions to this equation are 5 and 10. Since we only accept solutions greater than or equal to 7, 10 is a feasible solution, while 5 is extraneous.