Question

The length of the side of a right triangle are 7 cm and 24 cm. What is the length of
hypotenuse​

Answer 1

Answer:

25 cm

Step-by-step explanation:

Let ABC be a Right Angled Triangle

$\textbf{\underline{\underline{Given\: Measures\:Are :}}}$

Measure Of Base BC = 7 cm

Measure Of Perpendicular AB = 24 cm

To Find AC i.e Hypotenuse :

$\textbf{\underline{\underline{Applying\:Pythagoras\:Theorem :}}}$

$\sf \: ({Hypotenuse})^{2} = ({Perpendicular})^{2} + ({Base})^{2}$

$\sf \:( {AC})^{2} = ({ AB })^{2} + ({BC})^{2}$

$\sf \: ({AC})^{2} = ( {24})^{2} + ({7})^{2}$

$\sf \: ( {AC})^{2} = 576 + 49$

$\sf \:( {AC})^{2} = 625$

$\sf \: AC = \sqrt{625}$

$\boxed{\boxed{Hypotenuse\:= 25\:cm}}$

Answer 2

GIVEN THAT :

The length of the side of a right triangle are 7 cm and 24 cm.

TO FIND :

Length of hypotenuse.

SOLUTION :

Let in right angled ∆ABC ,

Angle B = 90°

AB = 7 cm

BC = 24 cm

Therefore, AC = ?

We know,

Side opposite to 90° in a triangle is the hypotenuse.

So, AC is the hypotenuseBy using Pythagoras theorem,

Base² + Altitude² = Hypotenuse ²

=> AB² + BC² = AC²

=> ( 7 )² + ( 24 )² = AC²

=> AC² = 49 + 576

=> AC² = 625

=> AC² = 625=> AC =√625

=> AC² = 625=> AC =√625=> AC = 25 cm

ANSWER

The length of the Hypotenuse is 25 cm.