The ratio of the sides of the triangle to be constructed with the corresponding sides of the given triangle is known as their ____________

The difference of any two sides of a triangle is always __________ than the third side.

The sum of any two sides of a triangle is always _____________ than the third side.

A Segment AB is divided at point P such that \(\frac { PB }{ AB } =\frac { 3 }{ 7 } \) then find the radio AP : PB.

At least three parts are sufficient for construction of a triangle.

Length of the tangents from an external point P to a circle with centre O and radius r is given by \(\sqrt { { OP }^{ 2 }-{ r }^{ 2 } } \)

A pair of tangents can be constructed to a circle inclined at an angle of 170^o .

In a \(\Delta ABC\) , we draw \(\Delta AB'C'\sim \Delta ABC\) with scale  factor \(\frac { 13 }{ 15 } \) . Then, perimeter of \(\Delta ABC\)  > perimeter of \(\Delta AB'C'\)

To draw a pair of tangents to a circle which are inclined to each other at an angle of 60° , it is required to draw tangents at end points of those two radii of the circle, then find the angle between them.

To construct a triangle similar to a given \(\Delta ABC\) with its sides \(\frac{3}{7}\) of the corresponding sides of \(\Delta ABC\), first draw a ray BX such that \(\angle CBX\) is an acute angle and X lies on the opposite side of A with respect to BC. Then locate points B₁, B_2, B₃,......... on BX at equal distance and then which points are joined in the next step.

To  draw a pair of tangents to a circle which are inclined to each other at an angle of 35^o, it is required to draw tangents at the end points of those two radii of the circle, then find the angle between the two radii.

To divide a line segment LM in the ratio a : b, where a and b are positive integer, draw a ray LX so that angle \(\angle\)MLX is an acute angle, then find the minimum number of such points marked at equal distances on the ray LX.

Draw a triangle ABC with sides BC = 6 cm, AB = 5 cm and (Then construct a triangle whose sides are \({3\over 2}\) of the corresponding sides of the triangle ABC.

Construct a triangle ABC in which  \(AB=5\ cm, BC=6\ cm\) and \(AC=7cm.\) Construct another triangle similar to \(\triangle ABC\) such that its sides are \(3\over 5\) of the corresponding sides of \(\triangle ABC\).

Draw a line segment PQ of length 9cm. Taking P as centre, draw a circle of radius 4.5cm and taking Q as centre, draw circle of radius 3cm.  Construct tangents to each circle from the centre of the other circle.

Draw a line segment AB of length 8 cm. Taking A as centre, draw a circle of radius 4 cm and taking B as centre, draw another circle of radius 3 cm. Construct tangents to each circle from the centre of the other circle.

Draw two tangents from the end points of the diameter of a circle of radius 4.0 cm. Are these tangents parallel?

Construct a pair of tangents PQ and PR to a circle of radius 4 cm from a point P outside the circle 8 cm away from the centre. Measure PQ and PR.