Answer:
- Yes it is a right triangle
- The side lengths satisfy the Pythagorean theorem equation
Step-by-step explanation:
We can test these numbers to see if they satisfy the Pythagorean theorem equation:
15² = 9² + 12²
225 = 81 + 144 . . . . true
Since the numbers satisy the Pythagorean theorem relation, they belong to a right triangle.
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You can recognize that the ratio of side lengths is ...
9 : 12 : 15 = 3 : 4 : 5
Further, you can recognize that the side lengths 3, 4, 5 belong to the right triangle with the smallest integer side lengths that satisfy the Pythagorean theorem. Hence the 9 : 12 : 15 triangle is similar (by a scale factor of 3) to a right triangle, thus is a right triangle.
The basic rigid motions are A) Translation, reflections and rotations
In other words, we can shift an object, mirror it over a line, or turn it, to keep the same basic size and shape of the object. The object keeps the same area and perimeter, as well as the angles and sides staying the same as well.
A transformation that isn't a rigid motion would be a dilation. A dilation enlarges or shrinks a figure, so it doesn't keep the same size (though it keeps the same shape to make the before and after figures similar).
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A turn is also called A) rotation
A rotation needs to have information about what center point you're turning around. Often this is the origin. You'll also need the amount of rotation applied, as well as if you're going counterclockwise or clockwise.
Answer:
sam has to bearound 150cm tall to reach that angle