State whether the statements are true (T) or false (F).
A quadrilateral can be drawn if all the four sides and one diagonal is given.

Question

State whether the statements are true (T) or false (F). A quadrilateral can be drawn if all the four sides and one diagonal is given.

Philoid · Accepted Answer

TRUE

Let AB,BC,CD,AD(sides) and AC(diagonal) be given.

Draw ΔABC using SSS construction.

Now, we have to locate the 4^th point D. this ‘D’ would be on the side opposite to B with reference to AC.

So, with A as centre draw an arc of radius of length equal to AD.

Now, with C as centre draw an arc of radius of length equal to CD.

The intersection of these 2 arcs is D. Mark D and complete ABCD

State whether the statements are true (T) or false (F).A quadrilateral can be drawn if all the four sides and one diagonal is given.