Question

The length of two sides of right angled triangle are 12cm and 16cm. Find length of the hypotenuse.

Answer 1

Answer:

Step-by-step explanation:

12^2 + 16^2 = hypothenuse^2

144 + 256 = hypotenuse^2

400 = hypotenuse^2

Hypotenuse = √400 = 20cm

Answer 2

Answer :-

The Length of the Hypotenuse is 20 cm

Explaination :-

★ Given:-

• Length of 1st side = 12 cm

• Length of the 2nd side = 16 cm

★ To find :-

• Length of the Hypotenuse

★ Solution :-

• Hypotenuse : x

• Base : 12

• Height : 16

=> ( Hypotenuse ) ² = ( Base ) ² + ( Height ) ²

$= > {x}^{2} = {12}^{2} + {16}^{2}$


$= > {x}^{2} = 144 + 256$


$= > {x}^{2} = 400$


$= > x = \sqrt{400}$


$= > x = 20$

$\large{\green{\boxed{\green{\boxed{\red{\textsf{Hypotenuse = 20 cm }}}}}}}$

$\therefore$ The Length of the Hypotenuse is 20 cm