Question

In a right angles triangle the base and hypotenuse are 3cm and 5cm,find the perpendicular of the triangle?

Answer 1

The figure of Right angle triangle is given in attachment.

According to the question,

AC = Hypotenuse = 5 cm

BC = Base = 3 cm

AB = Perpendicular = ?

By Pythagoras theorem,

(AC)² = (AB)² + (BC)²

⇒5² = AB² + 3²

⇒25 = AB² + 9

⇒25 - 9 = AB²

⇒ 16 = AB²

⇒ AB =√16

⇒ AB = ± 4

Side cannot be negative

⇒ AB = 4 cm

Additional information:

• Pythagoras theorem named after Greek philosopher Pythagoras is a theorem used for measuring the sides of right angle triangle.
• This theorem is used as a base in trigonometry.
• This theorem holds good for only right angle triangle and not other triangles