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2 answers:
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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,
We first need to factorize (if possible) the denominators:
we can see that
as 2 and 5 are two numbers whose sum is 7 and product is 10.
Similarly, we can see that
as 2 and 3 are two numbers whose sum is 5 and product is 6.
Thus, the expression is:
.
Now to make the denominators equal, but to also keep them as small as possible, the common denominator must be (p+3)(p+2)(p+5).
Answer: (p+3)(p+2)(p+5).
we can see that
Similarly, we can see that
Thus, the expression is:
Now to make the denominators equal, but to also keep them as small as possible, the common denominator must be (p+3)(p+2)(p+5).
Answer: (p+3)(p+2)(p+5).