Answer:
7[tex]\sqrt{2}[/tex]
Step-by-step explanation:
To find the missing length of a right triangle use the Pythagorean theorem. This theorem is [tex]a^2+b^2=c^2[/tex]. The variables a and b are the legs (shorter sides) and c is the hypotenuse (longest side). In this case, the hypotenuse is the missing side. So, add and square 7. This looks like [tex]7^2+7^2=x^2[/tex]. So, [tex]98=x^2[/tex]. Finally, square root 98 to get the final answer, [tex]\sqrt{98}[/tex]. This can be simplified to [tex]7\sqrt{2}[/tex].
Additionally, this is a special right triangle because the legs are of equal length. If the legs are equal then the hypotenuse with be equal to x[tex]\sqrt{2}[/tex], where x is the length of the legs. So this problem can also be solved using this method.
