Mrs. Purdue needs to pick three random students in her class to be representatives on the student council. Explain how Mrs. Purd
1 answer:
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Answer:
units
units
units
units
Step-by-step explanation:
A circumcenter is the point where the perpendicular bisectors of a triangle intersect.
This means
- BD = DC;
- BF = FA;
- AE = EC.
Since BC = 24 units, then BD = 12 units (half of BC).
Since FA = 8 units, AB = 16 units (twice FA).
Consider right triangle BGF. In this triangle, BF = 8 units (congruent to FA), BG = 13 units. By the Pythagorean theorem,
Triangles BFG and AFG are congruent right triangles, then BG = AG. In right triangle AGE, units,
units. By the Pythagorean theorem,
Answer:
20.6 m
Step-by-step explanation:
Hi there!
Assuming that the utility pole makes a 90-degree angle with the ground, this scenario creates a right triangle.
The 45 m-long cable is the hypotenuse and the 40 m between the base of the pole and the cable is one of the legs.
We must solve for the height of the utility pole, which is essentially the other leg of the right triangle.
We can use the Pythagorean theorem: where a and b are the legs and c is the hypotenuse
Plug in the known information (leg=40, hyp=45)
Therefore, when rounded to the nearest tenth, the height of the utility pole is 20.6 m.
I hope this helps!