Question

Q) Find the length of the hypotenuse of a right angle triangle if remaining sides are 9 cm and 12 cm.....(solution)​

Answer 1

Answer:

15cm

Step-by-step explanation:

√(12)² + (9)²

= √144+81

=√225

=15cm

Answer 2

• The length of the hypotenuse of a right angled triangle = 15 cm.

Given :

The two sides of a right angled triangle :

• The base of a right angled triangle = 9 cm.
• The perpendicular of a right angled triangle = 12 cm.

To Find :

• The length of the hypotenuse of a right angled triangle.

Solution :

Let,

The length of the hypotenuse of a right angled triangle be x.

By pythagoras theorem formula,

$\red{ \boxed{ \tt{ \orange{ {(Hypotenuse)}^{2} = {(Perpendicular)}^{2} + {(Base)}^{2} }}}}$

We have,

• Perpendicular = 12 cm.
• Base = 9 cm.

$:\implies \rm{(x)}^{2} = {(12 \: cm)}^{2} + {(9 \: cm)}^{2} \\ \\ :\implies \rm{x}^{2} = 144 \: {cm}^{2} + 81 \: {cm}^{2} \\ \\ :\implies \rm {x}^{2} = 225 \: {cm}^{2} \\ \\ :\implies \rm x = \sqrt{225 \: {cm}^{2} } \\ \\ :\implies \rm x = 15 \: cm$

Hence,

The length of the hypotenuse of a right angled triangle is 15 cm.