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2 years ago

Choose all of the terms that best describe each of the sets of lines or points. Lines AB and CD

Mathematics

1 answer:

Aleksandr [31]2 years ago

8 0

Answer:

1. Collinear is a two line that lies on a same line (Refer pic 1)

2. Intersecting is a two line that meets at a point. The point called intersecting point. Refer pic 2

3. Parrallel is a non collinear line that move to the same direction and will never intersect to each other. Refer pic 3

4. Non collinear is a line that is not lies on the same line. This lines will intersect to each other at one point. Refer pic 4

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poizon [28]

Answer:

96 square inches.

Step-by-step explanation:

From given picture we see that

BC=8 in

AD=10 in

Given that

AD=AB

Then AB=10 in

Apply Pythagorean theorem in triangle ABC to find AC

$(hypotenuse)^2=(base)^2+(perpendicular)^2$

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

$(10)^2=(8)^2+(AC)^2$

$100=64+(AC)^2$

$100-64=(AC)^2$

$36=(AC)^2$

take square root

$6=AC$

Then area of triangle ABC $=\frac{1}{2}\left(base\right)\left(altitude\right)$

$=\frac{1}{2}\left(8\right)\left(6\right)=24$

There are total 4 congruent triangles.

Then total area of the given figure = 4(24)=96 square inches.

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