Question

Find the diagonal of a square whose side is 10cm​

Answer 1

Given:

The diagonal of the square is 10cm

To find:

The diagonal of the square.

Something about square

• The square is a quadrilateral that has four equal sides.
• The four interior angles of the square each are 90° each.

Now,

By Pythagoras theorem we have

(Hypotenuse)² = (Base)² + (Perpendicular)²

Now,

In a square, the two sides are the same and have 90° each interior angles.

⇒ (side)² + (side)² = (diagonal)²

⇒ 2(side)² = (diagonal)²

⇒ $\sqrt{2(side)^{2}}$ = diagonal

⇒ $\sqrt{2}\ side$ = diagonal

Thus,

We can find the diagonal of the square

= √2 × (10)

= 10√2 cm

Hence,

• The diagonal of the square whose side is 10 cm = 10√2 cm

Answer 2

Answer:

✡ Question ✡

➡ Find the diagonal of a square whose side is 10cm.

✡ Given ✡

➡ The diagonal of the square is 10cm.

✡ To Find ✡

➡ The diagonal of the square.

✡ Formula used ✡

➡ Pythagoras theorem :-

⭐(Hypotenuse)²=(Base)²+(Perpendicular)²⭐

✡ Solution ✡

▶ According to the question,

In a square, the two sides are the same and have 90° each interior angles.

=> (side)² + (side)² = (diagonal)²

=> 2(side)² = (diagonal)²

=> $\sqrt{2(side)^{2}}$ = diagonal

=> $\sqrt{2}$ = diagonal

Hence, we can find out the diagonal of the square,

=> √2(10)

=> 10√2 cm

∴ The diagonal of the square whose side is 10 cm = 10√2 cm.

Step-by-step explanation:

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