In the diagram below, x is a whole number. what is the smallest possible value for x?
1 answer:
Answer:
The smallest possible value for x is
Step-by-step explanation:
we know that
The <u>Triangle Inequality Theorem</u>. states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side
so
The value of x must be greater than
so
If x must be a whole number
therefore
The smallest possible value for x is
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This is a question that can be solved with Pythagorean Theorem since it is a right triangle. The longest side, 29, is the hypotenuse and the sides 21 and x are the legs. So, the Pythagorean Theorem states,
Where,
c is the Hypotenuse, a and b are the legs. Putting the respective values gives us,
So, 20 is the side length of x.
ANSWER: 20
see explanation below
(1) ×
=
= 0.2
(2) ×
=
= 0.24
(3) 2 = 2 +
= 2.75
(4) 3 = 3 + 0.9 = 3.9
(5) 1.25 = 1 =
(6) 3.29 = 3 =
(7) 0.65 = =
in simplest form
(8) 5.6 = 5 = 5
=
(9) he is incorrect
×
=
= 0.6 ≠ 3.5