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Setler [38]
3 years ago
8

Find the area. The figure is not drawn to scale

Mathematics
1 answer:
poizon [28]3 years ago
7 0

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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