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Arada [10]
3 years ago
9

Which of the following is not part of the Triangle Proportionality Theorem?

Mathematics
1 answer:
natka813 [3]3 years ago
3 0

Answer:

A. AA Similarity Theorem  . True

B. Two sides divided proportionally. True

C. A parallel line to one side of a triangle.  True

D. A perpendicular line to one side of a triangle. False

Step-by-step explanation:

The Triangle Proportionality Theorem says that if a line is parallel to one side of a triangle, then it splits the other two sides into proportional sections.

Now, here the given statements are:

<u>A. AA Similarity Theorem </u>

TRUE, as the angles opposite to equal sides are equal.

And if lines are divided proportionally, both the triangles are Similar by AA similarity theorem.

<u>B. Two sides divided proportionally. </u>

TRUE,as the other two sides of the triangle are divided proportionally by the parallel line.

<u>C. A parallel line to one side of a triangle. </u>

TRUE, as the parallel line divides the other two  non- parallel sides in equal proportions.

<u>D. A perpendicular line to one side of a triangle.</u>

FALSE, this part is not required anywhere in the given theorem result.

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\large\boxed{y\in(-6,\ \infty)}

Step-by-step explanation:

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It is given that the base of the pyramid is a right triangle.

The formula to determine the volume of the pyramid is given by

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From the figure, we can see that,

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Substituting these values in the formula V=\frac{l w h}{3} , we have,

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