can a right triangle have a leg that is 10 meters long and a hypotenuse that is 10 meters long? Explain

1 answer:

7 0

According to the Pythagorean Theorem, in a right triangle, the the squares of the sides equal the square of the hypotenuse. if the sides were to be A and B and the Hypotenuse were to b C, A²+B²=C². In your case, A=10 and C=10. If you were to plug that into the Pythagorean Theorem, 100+B²=100. (10²=100) If you subtract 100 by both sides (100=100 so they cancel each other out), B²=0. in a right triangle, a leg cannot equal 0. Therefore, A right triangle cannot have a leg that is 10 meters long and a hypotenuse that is 10 meters long.

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Which algebraic rule describes the translation of ADEF to AD'E'F?

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Answer:

B: (x, y) --> (x + 4, y - 3)

Step-by-step explanation:

the shape DEF went to the right along the x axis wich increased x and then went down the y axis or decreased y to make D'E'F'

some good way to remember these translations and orders are...
- x is first when plotting points, then y (x, y)
- x increases going right, and decreases going left, as well as y increasing going up, then decreasing going down

BONUS FACT:
the symbol ( ' ) is called a prime when refering to transformations and geometry ((as in D' is pronounced D prime))