Question

in a right angled triangle , if sum of the squares of the sides making right angle is 441 so hypotenuse ?​

Answer 1

Step-by-step explanation:

Answer:-

Concept:-

Pythagoras Theorem.

Let's Do!

• Given that the sum of the squares of the sides making right angle is 441 .
• We need Hypotenuse.
• According to Pythagoras theorem,

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

• B is base
• H is Height
• Hyp is Hypotenuse

We are already given sum of square of Base and height.

$\boxed{\sf{441=Hyp^2}}$

Square Root of 441 is 21.

$\boxed{\sf{(21)^2=Hyp^2}}$

$\boxed{\sf{Hypotenuse = 21 \ units}}$

So, the required answer is 21.

Answer 2

Answer:

★ Given :-

$\leadsto$ In a right angled triangle, the sum of the squares of the sides is making a right angle is 441.

★ To Find :-

$\leadsto$ What is the hypotenuse.

★ Formula Used :-

By using the Phythagorus Theorem,

$\boxed{\bold{\large{(Base)²\: +\: (Height)²\: =\: (Hypotenuse)²}}}$

★ Solution :-

➙ As we know that according to the Phythagorus Theorem,

《 Sum of the square of two sides containing right angle which is always equal to square of the third sides that is also hypotenuse. 》

➣ According to the question by using the Phythagorus Theorem we get,

↬(Base)² + (Height)² = (Hypotenuse)²

➠ 441 = (Hypotenuse)²

➠ $\sqrt{441}$ = Hypotenuse

➠ 21 = Hypotenuse

$\therefore$ The hypotenuse is $\boxed{\bold{\large{21}}}$

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