Question

2). The sides of a right angle triangle are 9 cm and 42 cm, then find the side of hypotenuse.​

Answer 1

Answer:

first step : given , the 2 others sides i.e. base and perpendicular is 9cm and 42 cm respectively

let , the hypotenuse be H

since it is a right angle triangle

second step: by Pythagoras theorum , we have

H^2= 9^2+42^2

=>H^2= 81+1764

=>H^2= 1855

=>H=√1855

=>H= 42.95cm

i hope this helps :)

Answer 2

Length of hypotenuse is 42.95 cm.

Given:

• The sides of a right angle triangle are 9 cm and 42 cm.

To find:

• Find the side of hypotenuse.

Solution:

Concept to be used:

• Apply Pythagoras theorem.
• Pythagoras theorem: It states that Hypotenuse²= Perpendicular²+ Base²

Step 1:

Let base of right triangle is 42 cm

and Perpendicular is 9 cm.

Step 2:

Apply Pythagoras theorem.

${ \text{Hypotenuse}}^{2} = ( {9)}^{2} + ( {42)}^{2}$

or

${ \text{Hypotenuse}}^{2} = 81 + 1754$

or

${ \text{Hypotenuse}}^{2} = 1845$

or

taking square root both sides.

${ \text{Hypotenuse}} = \sqrt{1845}$

Step 3:

Find square root of 1845 by division method.

$\: \: \: \: \: \: \: 4 |18 \: \: \: 45| 42.95 \\ + 4 |16| \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ - - - - - \\ \: \: 82 |245| \\ + 2 |164| \\ - - - - - \\ 849 |8100| \\ + 9 |7641| \\ - - - - - \\ 8585|45900| \\ + 5 |42925| \\ - - - - - - \\ 8590 |297500| \\ . \\ . \\ .$

Thus,

Length of hypotenuse is 42.95 cm.

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