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Magazine Chapter 10: Q2. (page 388)
Repeat Exercise , but work with angle bisectors.
Short Answer
The final answer is:
Step by step solution
Step 1. Given information:
Perpendicular bisectors of triangle located inside, outside, and on the triangle.
Step 2. Concept used:
We use basic geometric and angle concept.
Step 3. Applying the concept:
Draw an equilateral or an acute triangle ABC.
From three sides of the triangle, draw three perpendicular bisectors.
Thus, all the perpendicular bisectors meet at a point inside the triangle as shown below:
The final answer is:
Step 1. Given information:
Perpendicular bisectors of triangle located inside, outside, and on the triangle.
Step 2. Concept used:
We use basic geometric and angle concept.
Step 3. Applying the concept:
Draw an obtuse triangle (one of the angles is greater than 90 degrees.)
From three sides of the triangle, draw three perpendicular bisectors.
Thus, all the perpendicular bisectors meet at a point outside the triangle as shown below:
The final answer is:
Step 1. Given information:
Perpendicular bisectors of triangle located inside, outside, and on the triangle.
Step 2. Concept used:
We use basic geometric and angle concept.
Step 3. Applying the concept:
Draw a Right-angled triangle (one of the angles is of 90 degrees.)
From three sides of the triangle, draw three perpendicular bisectors.
Thus, all the perpendicular bisectors meet at a point on the triangle. In fact, they meet at a point which lies on the hypotenuse as shown below:
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