Question

The Base of Right angular Triangle is 3x and height/perpendicular is x what is length of Hypotenuse ? (Pretty Complex Question Isn't it?)​

Answer 1

By Pythagoras theorem,

Base² + Altitude² = Hypotenuse²

----------

3x² + x² = Hypotenuse²

4x² = Hypotenuse²

---------

Hypotenuse = √4x²

= 2x

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→ Length of hypotenuse is 2x.

Answer 2

Answer :

The length of hypotenuse is 2x.

Step-by-step explanation :

Given :

Hypotenuse² :

=> 3x² + x²

=> 4x²

To Find :

The length of Hypotenuse.

Solution :

We know that :

★ Pythagorean Theorem :

The area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.

We can write it as -

${\bigstar\color{aqua}{\boxed{\sf H^2 = B^2 + A^2}}}$

Where,

B² - Base²

A² - Altitude²

H² - Hypotenuse²

So,

H = $\sqrt{4x^2}$

=> 2x

Therefore,

Length of hypotenus = 2x