In triangle ABC shown below, side AB is 6 and side AC is 4:
1 answer:
To prove that segment DE is parallel to segment BC and half its length, Translate ABCDE left 4 units and down 2 units
<h3>What is a transformation?</h3>Transformation is the movement of a point from its initial location to a new location. Types of transformation are <em>translation, rotation, reflection and dilation.</em>
Dilation is the increase or decrease in the size of a figure.
To prove that segment DE is parallel to segment BC and half its length, Translate ABCDE left 4 units and down 2 units.
Find out more on transformation at: brainly.com/question/4289712
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For the square with side length n, the diagonal measures:
The sidelength of the square is n, and we want to get the length of the diagonal d.
Notice that the diagonal is the hypotenuse of a right triangle whose catheti measure n.
Then we can use the Pythagorean theorem, which says that the square of the hypotenuse is equal to the sum of the squares of the cathetus;
That is the length of the diagonal.
If you want to learn more about right triangles:
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Answer:
16.2 m
Step-by-step explanation:
First, we can draw a picture. The cable goes from the top of the pole to the ground (with the pole on the right in my drawing), and the point on the ground is 10 m away from the base of the pole. This forms a right triangle, with the right angle being between the 10 m distance and the pole itself. We can then apply the Pythagorean Theorem, so
a²+b²=c², with c being the side opposite the right angle (the cable), getting us
10²+(length of pole)² = 19²
19²-10²=(length of pole)²
= 261
square root both sides to isolate the length of the pole
length of pole ≈ 16.2 m
