Question

Find the value of z
​

Answer 1

z =8.49 or 6
`√(2)`

Explanation:

Do the Pythagorean theorem =
`a^(2) +b^(2) =c^(2)`

Length of hypotenuse = 8+1=9

length of one side = 3

so, a²+3²=9²

a²+3²=9²

a²=81-9

a²=72

a=√72=8.49 or 6
`√(2)`

Answer 2

`\textsf {Finding y :}`

`\implies \mathsf {1^(2) + y^(2) = 3^(2)}`

`\implies \mathsf {y^(2) = 8}`

`\implies \mathsf {y = 2√(2)}`

`\textsf {Finding z :}`

`\implies \mathsf {(2√(2))^(2)+8^(2)=z^(2)}`

`\implies \mathsf {z^(2) = 72}`

`\implies \mathsf {z = 6√(2)}`