Question

Please help me solve this problem.​

Answer 1

The value of x will be:

`x=22√(2)`

or

`x = 31.1`

Explanation:

Given

• a = 22

• b = 22

To determine

hypotenuse x = ?

For a right-angled triangle with sides, a and b the hypotenuse c is defined as

`c=√(a^2+b^2)`

substituting a = 22, b = 22 and c = x

`x=√(22^2+22^2)`

`x=√(22^2\cdot \:2)`

Apply radical rule:
`\sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b},\:\quad \mathrm{\:assuming\:}a\ge 0,\:b\ge 0`

`x=√(2)√(22^2)`

`x=22√(2)`

or

`x = 31.1`

Therefore, the value of x will be:

`x=22√(2)`

or

`x = 31.1`