Question

Find the value of x if (7,x,x + 1) is a Pythagorean triplet.

a. 13
b. 17
c. 24
d. 34

Provide me the correct answer Asap step by step explanation ❤️​

Answer 1

Answer:

X=24

Step-by-step explanation:

There is a trick here, but don't write this in your exam

As 7 is a odd number, waht you do is take 7 square which is 49 and then write 49 as a sum of two consecutive integers, which is 24 and 25.

as x and x+1 and 7 form a Pythagorean Triplet tye 7,24,25 form one. Hope this helps you

Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

Find the value of x if ( 7 , x , x + 1 ) is a Pythagorean triplet.

a. 13

b. 17

c. 24

d. 34

EVALUATION

Since ( 7 , x , x + 1 ) is a Pythagorean triplet

So we have

$\displaystyle \sf{ {(x + 1)}^{2} = {x}^{2} + {7}^{2} }$

$\displaystyle \sf{ \implies {x}^{2} + 2x + 1 = {x}^{2} + 49 }$

$\displaystyle \sf{ \implies 2x + 1 = 49 }$

$\displaystyle \sf{ \implies 2x = 48 }$

$\displaystyle \sf{ \implies x = 24 }$

FINAL ANSWER

Hence the correct option is c. 24

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