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3 years ago

Which of the following quadrilaterals have diagonals that are perpendicular to each other? Check all that apply.

Mathematics

1 answer:

mars1129 [50]3 years ago

4 0

Answer: Option B and option D.

Step-by-step explanation:

We know that a quadrilateral is a 2-dimensional closed shape that has four sides.

By definition the diagonals of a quadrilateral are the lines that connect two non-adjacent vertices.

The following quadrilaterals have diagonals that are perpendicular to each other (also known as perpendicular bisector diagonals), which means that they form four angles of 90 degrees (right angles): <em>Rhombus and Square.</em>

Therefore the answers are: the option B and the option D.

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In the figure to the right, if AC = 15 and BC = 12, what is the radius?

Andrew [12]

Answer:

The radius is 9.0 units

Step-by-step explanation:

we know that

In the right triangle of the figure ABC

Applying the Pythagorean Theorem

$AC^2=AB^2+BC^2$

substitute the given values

$15^2=AB^2+12^2$

solve for AB

$AB^2=15^2-12^2\\AB^2=81\\AB=9\ units$

Remember the the side AB of right triangle represent the radius of the circle

therefore

The radius is 9.0 units

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3 years ago

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Alenkasestr [34]

Answer:

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Step-by-step explanation:

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2 years ago

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3 years ago

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nevsk [136]

Answer:

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