High School

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ASAP I NEED THIS ASAP

b. Measure the length of the side DF.

c. Measure the height of the triangle, XF.

d. Describe in words the locus of the point that is 2cm from E and draw this onto your diagram.


e. Use compasses to bisect the angle D. You must leave your construction arcs in.

ASAP I NEED THIS ASAP b Measure the length of the side DF c Measure the height of the triangle XF d Describe in words

Answer :

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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