Answer:
Step-by-step explanation:
to solve this problem we can use the Pythagorean theorem
UT and TL are the legs, while LU is the hypotenuse
We have to find LU so we can proceed like this
x^2 + (x+1)^2 = LU^2
x^2 + x^2 + 1 + 2x = LU^2
2x^2 + 2x + 1 = LU^2
LU = +/-
we have to take only the positive value because a length can’t be negative.
2x^2 + 2x + 1 is positive for every value of x, so the final answer is
The two whole numbers are 5 and 6 ⇒ 3rd answer
Step-by-step explanation:
To prove that a square root number lies between which two consecutive integers do that
∵ The number is
- Find a square number less than 29
∵ 25 is a square number
∵ 25 is less than 29
- Find a square number greater than 29
∵ 36 is a square number
∵ 36 is greater than 29
∴ 25 < 29 < 36
- Take √ for each number
∴ <
<
∵ = 5
∵ = 6
∴ 5 < < 6
The two whole numbers are 5 and 6
Learn more:
You can learn more about the numbers in brainly.com/question/9621364
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