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Class 9 Math Sides and Angles of Triangle


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Mathcaret
Matrices and Determinants

672 Doubt Solutions

Real and Complex Numbers

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Logarithms

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Algebric Expressions and Algebric Formulas

2688 Doubt Solutions

Factorization

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Algebric Manipulation

4032 Doubt Solutions

Linear Equations and Inequalities

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Linear Graphs and their Applications

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Introduction to Coordinate Geometry

6048 Doubt Solutions

Congruent Triangles

6720 Doubt Solutions

Parallelograms and Triangles

7392 Doubt Solutions

Line Bisectors and Angle Bisectors

8064 Doubt Solutions

Sides and Angles of Triangle

8736 Doubt Solutions

Ratio and Proportion

9408 Doubt Solutions

Pythagoras's Theorem

10080 Doubt Solutions

Theorems Related with Area

10752 Doubt Solutions

Practical Geometry _ Triangles

11424 Doubt Solutions

Physicscaret
Chemistrycaret
Whichofthefollowingaretrueardwhicharefalse?(i)Theangleoppositetothelongersideofatriangleisgreater.(ii)Inaright−angledtrianglegreaterangleisof60∘.(iii)Inanisoscelesright−angledtriangleanglesotherthanrightangleareeachof45∘.(iv)Atrianglehavingtwocongruentsidesiscalledequilateraltriangle.(v)Aperpendicularfromapointtoalineisshortestdistance.(vi)Perpendiculartolineformanangleof90∘.(vii)Apointoutsidethelineiscollinearwithit.(viii)Sumoftwosidesoftriangleisgreaterthanthethird.(ix)Thedistancebetweenalineandapointonitiszero.(x)Trianglecanbeformedoflengths2 cm3 cmand5 cm.Which of the following are true ard which are false?(i) The angle opposite to the longer side of a triangle is greater.(ii) In a right-angled triangle greater angle is of 60^{\circ} .(iii) In an isosceles right-angled triangle angles other than right angle are each of 45^{\circ} .(iv) A triangle having two congruent sides is called equilateral triangle.(v) A perpendicular from a point to a line is shortest distance.(vi) Perpendicular to line form an angle of 90^{\circ} .(vii) A point out side the line is collinear with it.(viii) Sum of two sides of triangle is greater than the third.(ix) The distance between a line and a point on it is zero.(x) Triangle can be formed of lengths 2 \mathrm{~cm} 3 \mathrm{~cm} and 5 \mathrm{~cm} .
6. If 3 \mathrm{~cm} and 4 \mathrm{~cm} are lengths of two sides of a right angle triangle then what should be the third length of the triangle.
6. If 3 \mathrm{~cm} and 4 \mathrm{~cm} are lengths of two sides of a right angle triangle then what should be the third length of the triangle.

6.If3 cmand4 cmarelengthsoftwosidesofarightangletrianglethenwhatshouldbethethirdlengthofthetriangle.6. If 3 \mathrm{~cm} and 4 \mathrm{~cm} are lengths of two sides of a right angle triangle then what should be the third length of the triangle.

4. Prove that in a right-angled triangle the hypotenuse is longer than each of the other two sides.
4. Prove that in a right-angled triangle the hypotenuse is longer than each of the other two sides.

4.Provethatinaright−angledtrianglethehypotenuseislongerthaneachoftheothertwosides.4. Prove that in a right-angled triangle the hypotenuse is longer than each of the other two sides.

1. Two sides of a triangle measure 10 \mathrm{~cm} and 15 \mathrm{~cm} . Which of the following measure is possible for the third side?(b) 20 \mathrm{~cm}
1. Two sides of a triangle measure 10 \mathrm{~cm} and 15 \mathrm{~cm} . Which of the following measure is possible for the third side?(b) 20 \mathrm{~cm}

1.Twosidesofatrianglemeasure10 cmand15 cm.Whichofthefollowingmeasureispossibleforthethirdside?(b)20 cm1. Two sides of a triangle measure 10 \mathrm{~cm} and 15 \mathrm{~cm} . Which of the following measure is possible for the third side?(b) 20 \mathrm{~cm}

1. In the figure P is any point and A B is a line. Which of the following is the shortest distance between the point \mathrm{P} and the line \mathrm{AB} ?(c) \mathrm{mPN}
1. In the figure P is any point and A B is a line. Which of the following is the shortest distance between the point \mathrm{P} and the line \mathrm{AB} ?(c) \mathrm{mPN}

1.InthefigurePisanypointandABisaline.WhichofthefollowingistheshortestdistancebetweenthepointPandthelineAB?(c)mPN1. In the figure P is any point and A B is a line. Which of the following is the shortest distance between the point \mathrm{P} and the line \mathrm{AB} ?(c) \mathrm{mPN}

3. In the \triangle \mathrm{ABC} \mathrm{m} \angle \mathrm{B}=70^{\circ} and \mathrm{m} \angle \mathrm{C}=45^{\circ} . Which of the sides of the triangle is longest and which is the shortest?
3. In the \triangle \mathrm{ABC} \mathrm{m} \angle \mathrm{B}=70^{\circ} and \mathrm{m} \angle \mathrm{C}=45^{\circ} . Which of the sides of the triangle is longest and which is the shortest?

3.Inthe△ABCm∠B=70∘andm∠C=45∘.Whichofthesidesofthetriangleislongestandwhichistheshortest?3. In the \triangle \mathrm{ABC} \mathrm{m} \angle \mathrm{B}=70^{\circ} and \mathrm{m} \angle \mathrm{C}=45^{\circ} . Which of the sides of the triangle is longest and which is the shortest?

4. \cdots If 10 \mathrm{~cm} 6 \mathrm{~cm} and 8 \mathrm{~cm} are the lengths of a triangle then verify that sum of measures of two sides of a triangle is greater than the third side.
4. \cdots If 10 \mathrm{~cm} 6 \mathrm{~cm} and 8 \mathrm{~cm} are the lengths of a triangle then verify that sum of measures of two sides of a triangle is greater than the third side.

4.⋯If10 cm6 cmand8 cmarethelengthsofatrianglethenverifythatsumofmeasuresoftwosidesofatriangleisgreaterthanthethirdside.4. \cdots If 10 \mathrm{~cm} 6 \mathrm{~cm} and 8 \mathrm{~cm} are the lengths of a triangle then verify that sum of measures of two sides of a triangle is greater than the third side.

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