As it is a right triangle, pythagoras theorem will be applicable to it.
We know,
Pythagoras Theorem => [tex]\:\bf{c² = a² + b²}[/tex]
Here,
a = 2
b = b
c = 7
By putting values. We get,
[tex]\:\mathsf{c² = a² + b²}[/tex]
=> [tex]\:\mathsf{(7)² = (2)² + b²}[/tex]
=> [tex]\:\mathsf{49 = 4 + b²}[/tex]
=> [tex]\:\mathsf{49 - 4 = b²}[/tex]
=> [tex]\:\mathsf{45 = b²}[/tex]
=> [tex]\:\mathsf{\sqrt(45) = b}[/tex]
=> [tex]\:\mathsf{3\sqrt(5)= b}[/tex]
The nearest tenth number will be 6.7
Hope this helps you!
