The base of the isosceles triangle is five times the height

Find the exact value of cot ø

The exact value of cot(∅) is 2.5

Step-by-step explanation:

The picture of the question in the attached figure

we know that

An isosceles triangle has two equal sides and two equal interior angles

In his problem

In the right triangle ABD

---> adjacent side angle ∅ divided by the opposite side angle ∅

we have

The base of the isosceles triangle is five times the height

so

substitute

step-by-step explanation:

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when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: