According to the mathematical calculations made, the results are as follows: the length of DF is 3.87 cm, the length of XF is 4.89 cm. The point 2cm from E is 5cm from X and the angle of D is 60°.
What is the length of DF?
In this problem, we have to apply the Pythagorean theorem to find the lenght of DF line.
a² + b² = c²
7² + b² = 8²
49 + b² = 64
b² = 15
b = 3.87
How to calculate side XF?
In this problem, we have to apply the Pythagorean theorem to find the lenght of XF line.
a² + b² = c²
3² + 3.87² = c²
9 + 14.97 = c²
23.97 = c²
4.89 = c
According to the information of the graph we can conclude that the point 2cm from E is on the line EX, and it is located 2cm from E and 5cm from X.
What is the angle of D?
We know that F has a angle less than D so we can infer that F has an angle of 30° and D has an angle of 60° which we can check with a compass.
Learn more about angles in: brainly.com/question/28451077
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