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Sindrei [870]
3 years ago
11

ASAP ! Triangle WXY is a right triangle.True or False?

Mathematics
1 answer:
kupik [55]3 years ago
8 0
The correct answer would be true.

To verify that triangle WXY is a right triangle, use the Pythagorean theorem or
a^2+b^2=c^2 where a and b are the two shorter legs and c is the hypotenuse.

If a^2+b^2 is equal to c^2, then it is a right triangle. If a^2+b^2 is greater that c^2, then the triangle is acute and if a^2+b^2 is less than c^2, then the triangle is obtuse.

When you plug in the values into the theorem, you should get:
\sqrt{17} ^2+\sqrt{17} ^2 = \sqrt{34} ^2

This would simplify to 17+17=34 which simplifies to 34=34.

Because a^2+b^2 equals c^2, you can conclude that triangle WXY is a right triangle.
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Triangle XYZ, X equals 27 cm, Y equals 79 cm and angle C equals 142Degrees. Find the length of Z, to the nearest centimeter.
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Given:

In triangle XYZ, x = 27 cm, y = 79 cm and \angle C=142^\circ.

To find:

The length of z.

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In triangle XYZ, using the Law of cosine, we get

z^2=x^2+y^2-2xy\cos Z

Putting the given values in the above formula, we get

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z=\pm \sqrt{10331.608}

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Approx the above value to the nearest number and side length cannot be negative. So,

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