Classes
Class 9Class 10First YearSecond Year
$Which of the following are true ard which are false?(i) The angle opposite to the longer side of a triangle is greater.(ii) In a right-angled triangle greater angle is of 60^{\circ} .(iii) In an isosceles right-angled triangle angles other than right angle are each of 45^{\circ} .(iv) A triangle having two congruent sides is called equilateral triangle.(v) A perpendicular from a point to a line is shortest distance.(vi) Perpendicular to line form an angle of 90^{\circ} .(vii) A point out side the line is collinear with it.(viii) Sum of two sides of triangle is greater than the third.(ix) The distance between a line and a point on it is zero.(x) Triangle can be formed of lengths 2 \mathrm{~cm} 3 \mathrm{~cm} and 5 \mathrm{~cm} .$

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

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

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

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

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

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