Based on the information in the graph, 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°.
How to find the side length DF?
To find the length of the side DF we must apply the Pythagorean theorem substituting the values that we know as shown below:
- a² + b² = c²
- 7² + b² = 8²
- 49 + b² = 64
- b² = 15
- b = 3.87
How to calculate side XF?
To find the length of the side DF we must apply the Pythagorean theorem substituting the values that we know as shown below:
- a² + b² = c²
- 3² + 3.87² = c²
- 9 + 14.97 = c²
- 23.97 = c²
- 4.89 = c
The point 2cm from E would lie on the line EX at 2cm from E and 5cm from X.
What is the angle of D?
To calculate the angle of D we can use a compass, in this case, we know that the angle of X is 90°, so the other 90° that make up the triangle are distributed between point F and D. However, 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: https://brainly.com/question/28451077
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