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Arisa [49]
3 years ago
7

A triangle has side lengths of 13, 9, and 5. Is the triangle a right triangle? Explain.

Mathematics
2 answers:
valentina_108 [34]3 years ago
8 0

Answer: This triangle is <u>not</u> a right triangle

Step-by-step explanation:

In a right triangle, the hypotenuse(c) is always the longest side and a and b are the shorter sides.  Thus, 5^2+9^2=13^2.  Simplify this to get 25+81=169, then 106=169.  Because 106 does <u>not</u> equal 169, it is not a right triangle.

<em>Hope it helps <3</em>

icang [17]3 years ago
8 0

Answer:

The triangle is NOT a right triangle

Step-by-step explanation:

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7 0
3 years ago
the basketball court in the park is rectangle two of the sides are 84 feet long and the other two sides are 50 ft long what is t
butalik [34]
Hello!

So, we know that the length of the rectangular basketball court is 84 ft, and the width is 50 ft.

The formula for perimeter of a rectangle is:

P = 2l + 2w

This means that we need to multiply the length by two and the width by two as well.

Substitute:

P = 2(84) + 2(50)

P = 168 + 100

P = 268 ft

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The perimeter of the basketball court is 268 feet long.
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3 years ago
XYZ has coordinates X(2, 3), Y(1,4), and Z(8,9). A translation maps X to X'(4,7). What are the coordinates for Y' and Z' for thi
Rashid [163]

Answer:

The coordinates are Y'(x,y) = (3, 8) and Z'(x,y) = (10, 13).

Step-by-step explanation:

First, we have to derive an expression for translation under the assumption that each point of XYZ experiments the same translation. Vectorially speaking, translation from X to X' is defined by:

X'(x,y) = X(x,y) + T(x,y) (1)

Where T(x,y) is the vector translation.

If we know that X(x,y) = (2,3) and X'(x,y) = (4,7), then the vector translation is:

T(x,y) = X'(x,y)-X(x,y)

T(x,y) = (4,7) - (2,3)

T(x,y) = (2, 4)

Then, we determine the coordinates for Y' and Z':

Y'(x,y) = Y(x,y) + T(x,y)

Y'(x,y) = (1,4) + (2,4)

Y'(x,y) = (3, 8)

Z'(x,y) = Z(x,y) + T(x,y)

Z'(x,y) =(8,9) + (2,4)

Z'(x,y) = (10, 13)

The coordinates are Y'(x,y) = (3, 8) and Z'(x,y) = (10, 13).

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