Triangle ABC is translated according to the rule (x, y) → (x + 2, y – 8). If the coordinates of the pre-image of point B are (4,
2 answers:
Answer: The co-ordinates of point B' are (6, -13).
Step-by-step explanation: Given that triangle ABC is translated according to the following rule:
We are to find the co-ordinates of B' if the co-ordinates of the pre-image of point B are (4, -5).
Since the co-ordinates of point B are (4, -5), so the co-ordinates of point B' will be
Thus, the co-ordinates of point B' are (6, -13).
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<h2>Steps</h2>
So the 45-45-90 triangle is considered to be a "special triangle" and has a rule with it. If the legs are x, then the hypotenuse is x√2. Since we know that the hypotenuse is 18, this means we can set up our equation as such:
From here we can solve for x. Firstly, divide both sides by √2.
Next, we want to simplify this expression and to do that we first have to rationalize the denominator. With the right side, multiply the numerator and denominator by √2:
Next, divide:
<u>In short, the length of one leg of the triangle is 9√2 cm.</u>