Question

Find out the other sides of a right angled triangle given one side is 9 cm. Mention all possible answers. ​

Answer 1

Answer:

b=(A/2)*(A/2)-1 

/* :*/ 

After calculating the value of b:- 

:- 

C=b+2 

if we take the value of A=4 then  

b=(4/2)(4/2)-1  

b=3 /* here we get the values of b right ? */ 

C=b+2 // putting the value of b in this equation  

C =3+2=5 

let's analyze the value of a,b,c 

A=4 

b=3 

C=5  

(4)*(4)+(3)*(3)=(5)*(5) : 

16+9=25 

25=25 

Answer 2

Correct Question:

Find out the other possible integer sides of a right angled triangle, given one side is 9 cm.

Answer:

The required two sides of the triangle are found to be: 40 cm and 41 cm.

Step-by-step explanation:

Pythagorean triplets:

Pythagorean triples are any three positive integers that completely satisfy the Pythagorean theorem. the theory states that in any right triangle, the square of the hypotenuse is adequate to the sum of the squares of the other two legs of the right triangle. These three sides of the proper triangle form the Pythagorean triples.

Calculation:

Now, we are given one side as 9 cm,

We know that the three Pythagorean triplets can be found out by the following equations: $(m^2+n^2),2mn,(m^2-n^2)$

Now, Assuming 9 as $m^2-n^2$, we can have the solution as: m = 5, n = 4,

Now, applying this values, we get the answers for the other two sides as:

$m^2+n^2=5^2+4^2=41 cm$

and:

$2mn=2\times5\times4=40 cm$

Thus, the required two sides are found to be: 40 cm and 41 cm.

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