Question

Find the length of the missing side of this right triangle. Round the answer to the nearest tenth, if necessary.

Please help it would mean a lot.

Answer 1

As it is a right triangle, pythagoras theorem will be applicable to it.

We know,

Pythagoras Theorem =>
`\:\bf{c² = a² + b²}`

Here,

a = 2

b = b

c = 7

By putting values. We get,

`\:\mathsf{c² = a² + b²}`

=>
`\:\mathsf{(7)² = (2)² + b²}`

=>
`\:\mathsf{49 = 4 + b²}`

=>
`\:\mathsf{49 - 4 = b²}`

=>
`\:\mathsf{45 = b²}`

=>
`\:\mathsf{\sqrt(45) = b}`

=>
`\:\mathsf{3\sqrt(5)= b}`

The nearest tenth number will be 6.7

Hope this helps you!