If the two sides and an angle of a triangle is given, it is possible to draw that triangle' Is the above statement correct ? Justify.

Sides and Angles of triangle

Is it possible to draw a triangle whose sides are 5cm 7cm and 12cm?

Is it possible to draw a triangle with sides of length 2cm,3cm and 7cm?

It is possible to have a triangle in which two angles are acute.

In the figure given below, ABC is a triangle with AB = BC and D is an interior point of the triangle ABC such that angle DAC = angleDCA. Consider the following statements : 1. Triangle ADC is an isosceles triangle. 2. Dis the centroid of the triangle ABC. 3. Triangle ABD is congruent to the triangle CBD. Which of the above statements are correct ?

If two sides and an angle of one triangle are equal to two sides and an angle of another triangle , then the two triangles must be congruent’. Is the statement true? Why?

If two sides and an angle of one triangle are equal to two sides and an angle of another triangle , then the two triangles must be congruent’. Is the statement true? Why?

Is it possible to draw a triangle with sides of length 3 cm, 4 cm and 8 cm?

It is possible to have a triangle in which two of the angles are obtuse.

Consider the following statements : 1. The orthocentre of a triangle always lies inside the triangle. 2. The centroid of a triangle always lies inside the triangle. 3. The orthocentre of a right angled triangle lies on the triangle. 4.The centroid of a right angled triangle lies on the triangle. Which of the above statements are correct ?