CBSE Class 9 Maths Inequalities in a Triangle
- show that in a right angle triagle the hypotenuse is the longest side
- What is the greatest possible perimeter of a right angeled triangle with integer sides lengths if one of the sides has length 12?
- Prove that the perimeter of a triangle is greater than the sum of its three medians.
- Prove that if two sides of a triangle are unequal, the longer side has greater angle opposite it.
- In the figure PQ > PR, QS and RS are the bisectors of Q and R respectively. Prove that SQ > SR.
- Prove that the sum of the three altitudes of a triangle is less than the sum of the three sides of the triangle.
- In the figure AD is the bisector of A, prove that AB > BD.
- In the given figure, x > y. Show that LM > LN.
- Prove that in a right triangle, the hypotenuse is the longest side.
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