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Leno4ka [110]
3 years ago
8

Construct an inscribed circle in triangle PQR by finding the incenter of the triangle.

Mathematics
1 answer:
hodyreva [135]3 years ago
7 0

Answer:

Check it below

Step-by-step explanation:

Hello!

By definition, the intercept of the 3 bisectors, within a triangle is the Incenter. So let's get started, by tracing three bisectors.

In the triangle PQR::

  1. Use a compass, open its legs with a little more than half of \overline{PQ}  . Place the needle point in the vertex of P. Mark!
  2. Do the same, placing the needle point in Q, following \overline{QP} direction. Mark
  3. Repeat it with the other triangle's line segment, namely:

\overline {QR},\:\overline{PR}

   4.Trace with a ruler, from each intersection point a line. You'll trace three lines then.

    5. Place the compass' needle point in this intersection point, (inside the triangle) with a hinge up to the triangle side, draw the circle inscribed.

 

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The probability that a point chosen at random lies in the shaded region is 0.28

<h3>Calculating the area of a shaded region and probability</h3>

From the question, we are to find the probability that a point chosen at random lies in the shaded region.

The shaded region is a triangle.

The probability that a point chosen at random lies in the shaded region = Area of the triangle / Area of the circle

First, we will calculate the unknown side of the triangle

Let the unknown side be x.

Then, from the <em>Pythagorean theorem</em>, we can write that

12² = 6² + x²

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From formula,

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Now, we will determine the area of the circle

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The probability that a point chosen at random lies in the shaded region = 18√3 / 113.04

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Learn more on Calculating area of a shaded region here: brainly.com/question/23629261

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