Question

In the right angled triangle, sides making tight angle are 9cmand 12cm. find the length of the hypotenuse.
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Answer 1

Answer :

• Length of the hypotenuse is 15cm

Given :

• Base = 9cm
• Height = 12cm

To find :

• Length of hypotenuse

Solution :

In the right angles triangle,

As we know that .

Pythagoras theorem,

• (H)² = (B)² + (H)²

where, h is hypothenuse, b is base 9cm and h is height 12cm

》(Hypothenuse)² = (Base)² + (Height)²

》(Hypothenuse)² = (9)² + (12)²

》(Hypothenuse)² = 81 + 144

》 (Hypothenuse)² = 225

》Hypotenuse = √225

》Hypothenuse = 15cm

Hence , Length of the hypotenuse is 15cm

Answer 2

Given :

• Perpendicular (P) = 9cm
• Base (B) = 12cm

To Find :

• Hypotenuse (H)

Solution :

✰ As we know that, If Perpendicular and Base are given then we can easily find the Hypotenuse by using Pythagoras theorem. Now, Pythagoras Theorem states that (Hypotenuse)² = (Perpendicular)² + (Base)² . So we will put the given values in the formula to find the Hypotenuse.

⠀⠀⠀

⠀⠀⠀⟼⠀⠀⠀(Hypotenuse)² = (P)² + (B)²

⠀⠀⠀⟼⠀⠀⠀(Hypotenuse)² = (9)² + (12)²

⠀⠀⠀⟼⠀⠀⠀(Hypotenuse)² = 81 + 144

⠀⠀⠀⟼⠀⠀⠀(Hypotenuse)² = 225

⠀⠀⠀⟼⠀⠀⠀ Hypotenuse = √225

⠀⠀⠀⟼⠀⠀⠀ Hypotenuse = 15cm

⠀

Thus Hypothenuse is 15cm

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