Question

In a right angle triangle lenght of base is 5cm and its perpendicular is 3cm find the length of hypotenuse. ​

Answer 1

Given :

• Base of the triangle (B) = 5 cm
• Perpendicular (P) = 3 cm

To find :

• Length of the hypotenuse (H)

Solution :

We know that if we are given the base of a right triangle and height (perpendicular) of the right triangle we can use Pythagoras' Theorem to find the hypotenuse of the right triangle.

$\boxed{\sf{B^2 + P^2=H^2}}$

⇒ 5² + 3² = H²

⇒ 25 + 9 = H²

⇒ 34 = H²

⇒ H² = 34

⇒ H = $\sqrt{34}$

⇒ H = 5.83 (approximately)

•°• the length of the hypotenuse is 5.83 cm