Question

Please help me solve this problem.​

Answer 1

Answer:

The value of x will be:

$x=22\sqrt{2}$

or

$x = 31.1$

Step-by-step 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

$c=\sqrt{a^2+b^2}$

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

$x=\sqrt{22^2+22^2}$

$x=\sqrt{22^2\cdot \:2}$

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

$x=\sqrt{2}\sqrt{22^2}$

$x=22\sqrt{2}$

or

$x = 31.1$

Therefore, the value of x will be:

$x=22\sqrt{2}$

or

$x = 31.1$