Class 9 Exam > Class 9 Notes > Lab Manual: Verify that in a Triangle, Longer Side has the Greater Angle
Lab Manual: Verify that in a Triangle, Longer Side has the Greater Angle - Class 9 PDF Download
Objective
To verify experimentally that in a triangle, the longer side has the greater angle opposite to it.
Materials Required
Cardboard, Coloured glazed papers, White paper, Tracing paper, Scissors, Geometry box, Sketch pens, Adhesive
Prerequisite Knowledge
Concept of triangle and its properties.
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, (see Fig. 15.1)
- 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, (see Fig. 15.2)
- Using a tracing paper, make the cut out of the angle opposite to the longest side SC, i.e. ∠A. (see Fig. 15.3)
- Compare the cut out of the angle with remaining angles. (see Fig. 15.4)
Demonstration
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.
Observation
- Length of side AB = ……….. , Length of side BC = ………. , Length of side CA = ………… ,
- Measure of the angle opposite to the longest side = …………. ,
- Measure of the other two angles = …………… and ………. ,
- The angle opposite to the …………. side ……….. is than either of the other two angles.
Result
We have verified experimentally that in a triangle, the longest side has the greater angle opposite to it.
Application
The result can be useful in different geometrical problems.
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About this Document
Apr 17, 2025
Last updated
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