Question

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

Answer 1

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

• The value of x

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

• The given triangle is a right angle triangle

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

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

$\sf\implies{x^{2}=98}$

$\sf\implies{x={\sqrt{98}}}$

$\sf\implies{x={\sqrt{49×2}}}$

$\sf\implies{x={\underline{\boxed{\sf{\pmb{7{\sqrt{2}}}}}}}}$

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

• $\sf{x={\underline{\underline{\sf{\pmb{7{\sqrt{2}}}}}}}}$

Answer 2

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