Question

State the cases in which triangle cannot be drawn Give reasons to justify your answer.<br />(1) AB=4 cm, BC 8 cm and CA=2 cm<br />(ii) BC=5.2 cm, m ZB =90', mZC= 110°<br />(iii) XY = 5 cm, mZX = 45', and mZY=60°<br />Construct a right AXY7 right angled at y yY=52 cm YZ=79 cm.<br />(please answer if you know I want written answer on page please help) ​

Answer 1

Let smallest angle of a ||gm = x

Then second angle = 2x – 24°

But these are consecutive angles

∴ x + (2x- 24°) = 180°

⇒ x + 2x – 24° = 180°

⇒ 3x = 180° + 24° = 204°

⇒ x =204∘3  = 68°

∴ Smallest angle = 68°

and second angle = 2x 68° – 24°

= 136°-24° = 112°

∵ The opposite angles of a ||gm are equal Other two angles will be 68° and 112°

∴ Hence angles are 68°, 112°, 68°, 112°