State the sides of
- 6cm, 8cm, 10cm
- 14cm, 18cm, 20cm
- 10cm, 24cm, 26cm
- 20cm, 21cm, 29cm
Answer to Problem 41STP
Sides 14cm, 18cm, 20cm does not form right angle triangle.
Explanation of Solution
Given:
- 6cm, 8cm, 10cm
- 14cm, 18cm, 20cm
- 10cm, 24cm, 26cm
- 20cm, 21cm, 29cm
Calculations:
Right angle triangle is having one angle of
Pythagoras theorem is applied to find sides and hypotenuse of right angle triangle.
As per Pythagoras theorem, hypotenuse square is equal to sum of square of remaining two sides.
Applying Pythagoras theorem in each given set of sides of triangle,
1.
In option 1, Pythagoras theorem is satisfied.
2.
In option 2, Pythagoras theorem is not satisfied.
3.
In option 3, Pythagoras theorem is satisfied.
4
In option 4, Pythagoras theorem is satisfied.
Option 2 does not fulfil Pythagoras theorem. Therefore sides of right angle triangle in option 2 is not a measure of right angle triangle.
Conclusion:
Therefore, we are able to calculate measure of right angle triangle using Pythagoras theorem.
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