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Answer:
The length of the short side is 14.5 units, the length of the other short side is 18.5 units, and the length of the longest side is 23.5 units.
Step-by-step explanation:
The Pythagorean Theorem
<em>
If a and b are the lengths of the legs of a right triangle and c is the length of the hypotenuse, then the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.
</em>
This relationship is represented by the formula:

Applying the Pythagorean Theorem to find the lengths of the three sides we get:

Solve with the quadratic formula



Because a length can only be positive, the only solution is

The length of the short side is 14.5, the length of the other short side is
, and the length of the longest side is
.
Answer:
52.9 inches .
Step-by-step explanation:
Given that the triangular indentation has an area of 100 in.² and the base and height of this traingle are represented by expressions 3x and x+3 respectively . We need to find out the <u>perimeter </u>to the nearest tenth.
As we know that the area of triangle is ,
Substituting the respective values,
On using the <u>Quadratic</u><u> formula</u> , we have;

On simplifying above , we will get ,

Since sides can't be negative, therefore,

Therefore ,
Next let's find out the <u>hypotenuse </u>using Pythagoras theorem, as ;
Now we may find perimeter as ,

Answer: 
Step-by-step explanation:
Given
Current Population of wolves is 
If the growth rate is 
So the population in next year is


similarly 
So population after n years is 
Population after 10 years is

