3. Draw an obtuse-angled ∆STV. Draw its medians and show the centroid.
Question
- Draw an obtuse-angled ∆STV. Draw its medians and show the centroid.
Solution
Sure, here are the steps to draw an obtuse-angled triangle STV, its medians, and centroid:
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Draw a straight line and mark two points S and V on it. This will be the base of your triangle.
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Now, draw a line from point S making an obtuse angle (an angle greater than 90 degrees but less than 180 degrees) with the base SV. Mark the end point of this line as T. Now you have an obtuse-angled triangle STV.
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To draw the medians, you need to find the mid-points of the sides. The median of a triangle is a line from one vertex to the mid-point of the opposite side. So, find the mid-point of SV (let's call it point A), draw a line from T to A. This is one median.
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Similarly, find the mid-point of TV (let's call it point B), draw a line from S to B. This is the second median.
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Lastly, find the mid-point of TS (let's call it point C), draw a line from V to C. This is the third median.
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The point where all three medians intersect is called the centroid of the triangle. Mark this point as G.
Please note that this is a text-based platform and I'm unable to provide a visual representation. I recommend following these steps with a pencil and paper for better understanding.
Similar Questions
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