Jack and Andrea want to create a right triangle together using values of x and y and the polynomial identity to generate Pythago rean triples. If Andrea picks a value of x = 2, and the hypotenuse of the resulting right triangle is 5, what natural number value of y did Jack pick? y = 1 y = 2 y = 3 y = 4
2 answers:
A right triangle can be considered as a special type
because the relationship of its sides can be described using the hypotenuse
formula:
c^2 = a^2 + b^2
or
c^2 = x^2 + y^2
where,
c is the hypotenuse of the triangle and is the side
opposite to the 90° angle
while a and b are the sides adjacent to the 90° angle
In the problem statement, we are given that one of the
side has a measure of 2 = x, while the hypotenuse is 5 = c, therefore calculating
for y:
y^2 = c^2 – x^2
y^2 = 5^2 – 2^2
y^2 = 21
y = 4.58
The natural number is the number before the decimal.
Therefore the answer is:
y = 4
Answer:
The answer to this is y=1
hope this helps :D
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