Question

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

Answer 1

Answer :

›»› The length of hypotenuse of a right angle triangle is 5.83 cm.

Explanation :

Given :

• Base of a right angle triangle = 5 cm.
• Perpendicular of a right angle triangle = 3 cm.

To find :

• Length of a hypotenuse of a right angle triangle = ?

Solution :

As we know that, if we are given with the base of a right angle triangle and perpendicular of a right then we have the required formula, that is,

→ h² = b² + p².

Here,

• h is the Hypotenuse.
• b is the Base.
• p is the Perpendicular.

Substituting all the given values in the formula, we get :

→ h² = (5)² + (3)²

→ h² = 25 + (3)²

→ h² = 25 + 9

→ h² = 34

→ h = √34

→ h = 5.83

Hence, the length of hypotenuse of a right angle triangle is 5.83 cm.

Answer 2

Answer:

Given :-

• In a right angle triangle lenght of base is 5 cm and its perpendicular is 3 cm.

To Find :-

• What is the length of hypotenuse.

Formula Used :-

By using Pythagoras theorem we know that,

$\boxed{\bold{\large{{h}^{2} =\: {b}^{2} + {p}^{2}}}}$

where,

• h = Hypotenuse
• p = Perpendicular
• b = Base

Solution :-

Given :

• Base = 5 cm
• Perpendicular = 3 cm

According to the question by using the formula we get,

⇒ h² = (5)² + (3)²

⇒ h² = 25 + 9

⇒ h² = 34

⇒ h = $\sqrt{34}$

➠ h = 5.83

$\therefore$ The length of hypotenuse is 5.83 cm .