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3 years ago

Which statement is NOT true about the ratio of the leg lengths of increment ΔLRM and increment ΔJSK?

Mathematics

1 answer:

Alona [7]3 years ago

7 0

Given the similar triangles, it can always be noted that similarity can be derived from the proportionality of the leg lengths, however it is not true the the ratio of the proportion of the leg lengths is equal to the slope of the triangles. Thus the false statement is:
A] <span>The slope of the hypotenuse is represented by the ratio of the leg lengths.</span>

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Answer:

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Step-by-step explanation:

We will prove this with the help of contrapositive that is we prove that if n is not divisible by 3, then, $n^2$ is not divisible by 3.

Let n not be divisible by 3. Then $\frac{n}{3}$ can be written in the form of fraction $\frac{x}{y}$ , where x and y are co-prime to each other or in other words the fraction is in lowest form.

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It can be clearly seen that the fraction $\frac{3x^2}{y^2}$ is in lowest form.

Hence, $n^2$ is not divisible by 3.

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