verify experimentally that in the triangle the longer side have greater angle opposite to it with eg
Answers
Answer:
If two sides of a triangle are unequal, the angle opposite to the longer side is larger.
It is proved in the image.
Hopefully, it has answered your question.
To verify experimentally that in a triangle, the longer side has the greater angle opposite to it.
Step-by-step explanation:
To verify experimentally that in a triangle, the longer side has the greater angle opposite to it.
Materials Required
Cardboard, Colored glazed papers , White paper ,Tracing paper ,Scissors ,Geometry box,Sketch pens ,Adhesive
Procedure
- Take a cardboard of suitable size and by using adhesive, paste a white paper on it.
- Cut out a ΔABC from a glazed paper and by using adhesive, paste it on cardboard
- Measure the lengths of all the three sides of ΔABC and identify that which of them is longest.
- All the three angles of a triangle are to be marked,
- Using a tracing paper, make the cut out of the angle opposite to the longest side SC, i.e. ∠A.
Demonstration
Compare the cut out of the angle with remaining angles.
We came to know that ∠A > ∠B and ∠A > ∠C , BC > AC,
So, we get since ∠A > ∠B
Also, BC > AB, since ∠A > ∠C
Thus, we observe that the angle belongs to longer side is greater than the angle opposite to other side.
Application
The result can be useful in different geometrical problems.
#Learn more :
In a triangle abc , the side opposite to greater angle is longer.
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