In the figure ABC is a right triangle and right angled atB such that a

1.	In the figure ABC is a right triangle and right angled atB such that angleBCA=2BAC.Show that hypotenuse AC=2BC.(Hint: Produce CB to a point D that BC = BD ) please answer me fast
Answer» ANSWER: Step-by-step explanation: ∠BAC= X then ∠BCA = 2X x + 2x = 90° , 3x = 90° ==> x = 30° Property of right Δ : leg OPPOSITE to 30° = $\frac{1}{2}$ of hypotinuse ==> AC = 2BC

In the figure ABC is a right triangle and right angled atB such that angleBCA=2BAC.Show that hypotenuse AC=2BC.(Hint: Produce CB to a point D that BC = BD ) please answer me fast

Answer»

Step-by-step explanation:

∠BAC= X then ∠BCA = 2X

x + 2x = 90° , 3x = 90° ==> x = 30°

Property of right Δ : leg OPPOSITE to 30° = $\frac{1}{2}$ of hypotinuse

==> AC = 2BC