Question

Find the value of x. Write your answer in simplest form.
Х
7
X =

Answer 1

using Pythagorean theorem

a²+b²=c² where 'a'&'b' are legs of the right angle triangle and 'c' is the hypotenuse of the right angle triangle

here two legs are given (7,7) and x is the hypotenuse

=>a²+b²=c²

=>7²+7²=x²

=>x²=49+49

=>x²=98

=>√x²=√98

=>x=7√2

I hope it helps have a great day

Answer 2

`\large\mathfrak{{\pmb{\underline{To~find}}:}}`

• The value of x

`\large\mathfrak{{\pmb{\underline{Solution}}:}}`

• The given triangle is a right angle triangle

`\sf\implies{x^(2)=7^(2)+7^(2)~~~~~~~~(Pythagoras~theorem)}`

`\sf\implies{x^(2)=49+49}`

`\sf\implies{x^(2)=98}`

`\sf\implies{x={√(98)}}`

`\sf\implies{x={√(49×2)}}`

`\sf\implies{x={\underline{\boxed{\sf{\pmb{7{√(2)}}}}}}}`

`\large\therefore\mathfrak{{\pmb{\underline{Solution}}:}}`

• 
  `\sf{x={\underline{\underline{\sf{\pmb{7{√(2)}}}}}}}`