Question

the hypotenuse of a a right triangle is 25 cm long if one of the remaining two sides is 24 cm inland find the length of the other side.
please help me with this guys..​

Answer 1

Answer:

Let one side be xcm. Then the other side will be (x+5)cm. Therefore, from Pythagoras theorem

x

2

+(x+5)

2

=25

2

⇒x

2

+x

2

+10x+25=625

⇒x

2

+5x−300=0⇒x

2

+20x−15x−300=0

⇒x(x+20)−15(x+20)=0

⇒(x−15)(x+20)=0⇒x=15orx=−20

Rejecting x=−20, we have length of one side =15cm and that of the other side =(15+5)cm=20cm

Answer 2

The other side of the triangle is 7 cm.

Given:

The hypotenuse of a right triangle is 25 cm long if one of the remaining two sides is 24 cm.  

To find:

Find the length of the other side.  

Solution:

Pythagorean theorem condition:

According to a right triangle,  

=> Hypotenuse² = Side² + Side²  

From the data,

Hypotenuse of triangle = 25 cm

Side of the triangle = 24 cm

Using the formula,

=> (25)² = (24)² + Side²    

=> 625 = 576 + Side²

=> Side² = 625 - 576

=> Side² = 49 = (9)²

=> Side = 7  

Therefore,

The other side of the triangle is 7 cm.

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