Question

In a right angle,base length is double of perpendicular if its Hypotenuse is 5√5 cm. Find length of base and perpendicular​

Answer 1

Answer :-

• Perpendicular = x = √5 cm.
• Base = 2x = 2√5 cm.

Explanation :-

Given :

• Length of Base is double of perpendicular.
• Hypotenuse is 5√5 cm.

To Find :

• Length of Base and Perpendicular.

Solution :

Let the Perpendicular be x.

According to the Question,

Length of Base = 2x.

We will use Pythagoras theorem here.

Formula :-

H² = P² + B²

Here,

H = Hypotenuse.

P = Perpendicular.

B = Base.

Substitute the Values.

⇢ H² = x² + (2x)²

⇢ H² = x² + 4x²

⇢ H² = 5x²

⇢ 5x = H.

⇢ x = H ÷ 5.

(H = 5√5 cm).

⇢ x = 5√5 ÷ 5.

⇢ x = √5.

Therefore,

• Perpendicular = x = √5 cm.
• Base = 2x = 2√5 cm.