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Answer: Choice D. 8m, 9m, 10m</h3>
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Explanation:
If a = 8 and b = 9 are the two legs of a triangle and c = 10 is the hypotenuse, then
a^2 + b^2 = c^2
8^2 + 9^2 = 10^2
64 + 81 = 100
145 = 100
We get a false equation as 145 and 100 are two different values. So the original equation is false when (a,b,c) = (8,9,10)
By the converse of the pythagorean theorem, we have proven that this particular triangle is not a right triangle
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Contrast this with something like choice A where we have a = 3, b = 4, c = 5 leading to
a^2 + b^2 = c^2
3^2 + 4^2 = 5^2
9 + 16 = 25
25 = 25
we get a true equation so a triangle with sides 3,4,5 is a right triangle. Choices B and C follow a similar path.
Answer:
D. 8.8
Step-by-step explanation:
As the pythagorean theorem.
A² + B² = C²,
5.4 × 5.4 + 7 × 7 = C²,
29.16 + 49 = C²,
78.16 = C²,
8.8 ≈ C
Answer:
Rational numbers can be expressed as a fraction
Squared 5 = 25
25 can be expressed as a fraction- 25/1, so d is correct.
Let me know if this helps!
Step-by-step explanation:
