The length of EF in the right triangle
2 answers:
In order to find the sides of a right triangle, you can use the pythagorean theorem. (a^2 + b^2 = c^2)
The pythagorean theorem basically means that the square of two sides is equal to the square of the hypotenuse (the longest side of a triangle)
In this case, we already have 'a' and 'c', but not 'b'.
12^2 + b^2 = 19^2
Mutliply everything:
144 + b^2 = 361
Isolate b into one side by subtracting both sides by 144:
b^2 = 217
Square root both sides in order to completely isolate b:
b =
The answer is Option F
Good luck!
Answer:
F.
Step-by-step explanation:
Use the Pythagorean Theorem, which is a^2 + b^2 = c^2.
c represents the hypotenuse, or the longest side of the right triangle. c in this case would be 19.
Side a can be represented as 12 since it is the other side that has a given value.
Substitute in the values to get the equation: (12)^2 + b^2 = (19)^2
12 squared is 144 and 19 squared is 361. To figure out what b^2 is subtract 361 - 144 to isolate the variable. We will be left with b^2 = 217.
In order to find what b is, find the square root of 217, which is Choice F.
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Answer:
3.
Step-by-step explanation:
All the polynomials in the given option are quadratic.
By the fundamental theorem of algebra, the quadratic polynomial has two roots.
Since the solution set is given as {5}, the quadratic has a repeated root.
In other words the root has a multiplicity of 2.
Hence we have the equation:
, multiplicity 2
This implies that;
We expand to obtain;
The correct choice is the third option.