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Elan Coil [88]
3 years ago
11

Given a pair parallel lines cut by a transversal same interior angles are supplementary?

Mathematics
1 answer:
makkiz [27]3 years ago
6 0
If 2 parallel lines are cut by a transversal, then the alternate exterior angles are congruent. If 2 parallel lines are cut by a transversal, then the same side interior angles are supplementary. A line that intersects 2 coplanar lines at 2 different points.
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Determine the length of the leg of a 45o – 45o – 90o triangle with a hypotenuse length of 15 inches. ( ANSWER NEEDS TO BE IN RED
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Answer:

The lenghts of both legs: \frac{15\sqrt{2}}{2}\ inches

Step-by-step explanation:

By definition, when a triangle has angles that measures 45°, 45° and 90°, its legs are congruent.

Then, knowing the lenght of the hypotenuse, we can find the lenght (in inches) of  any leg of the given triangle by applying the Trigonometric Identity sin\alpha=\frac{opposite}{hypotenuse}:

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Finally, simplifying, we get:

leg=\frac{15(\sqrt{2})}{(\sqrt{2})(\sqrt{2})}=\frac{15\sqrt{2}}{2}

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