Step-by-step explanation:
The Pythagorean theorem can be understood as a mathematical relationship between the sides of a right triangle that helps to understand geometric problems in real situations, such as finding measurements, calculating areas, etc.
The theorem says that the square of the hypotenuse is equal to the sum of the squares on the other sides.
In a right triangle the hypotenuse is the longest side of the triangle, on the side opposite to its longest angle, and the other two sides will be the sides. So the Pythagorean theorem formula is:
a² = b² + c²
where a represents the hypotenuse and b and c the other sides.
Answer:
A. 5
Step-by-step explanation:
The triangle will be a right triangle when the side lengths satisfy the Pythagorean theorem: the sum of the squares of the legs is equal to the square of the hypotenuse.
(x +1)^2 +x^2 = (√61)^2
x^2 +2x +1 +x^2 = 61 . . . eliminate parentheses
2x^2 +2x = 60 . . . . . . .subtract 1, collect terms
x^2 +x -30 = 0 . . . . . divide by 2, subtract 30
(x +6)(x -5) = 0 . . . . factor the quadratic
x = -6 or +5
The solution is x = 5.
_____
Side lengths cannot be negative. Solution values are values of x that make the factors zero. x+6=0 when x=-6, for example.
Answer:
The answer is 4
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
Answer:
1/4 upperclassmen are not involved in enrichment.
Step-by-step explanation:
"3/4 of the upperclassmen (sophomores thru seniors) are involved in an enrichment." That leaves 1/4 upperclassmen students left. Verification: 3/4 + 1/4 = 4/4. 4/4 is also 1 whole.
