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hichkok12 [17]
3 years ago
5

Answer needed ASAP please!!

Mathematics
1 answer:
barxatty [35]3 years ago
5 0

Answer:

As can be clearly seen from the attached diagram angles PBC and BAD are congruent by the Corresponding Angles Theorem AB acts as the transversal for the lines BC and AD which are parallel.


Also, it can be clearly seen that the angles ABC and BAT are congruent by the Alternate Interior Angles Theorem as AB acts as the transversal for the lines BC and TAD which are parallel.


Thus, the only option from the given list of options which matches the answer is Option A.


Thus, Option A is the correct option and thus the final answer.



Step-by-step explanation:


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<em>A little more detail</em>

The point I that you have defined is the incenter—the center of an inscribed circle in the triangle. Its radius is the distance from I to any side, such as BC, for example.

If we use "Δ" to represent the area of the triangle and "s" to represent the semi-perimeter, (AB+BC+AC)/2, then the incircle has radius Δ/s. The area Δ can be computed from Heron's formula by ...

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