Question

Help with geometry??

Answer 1

A

Explanation:

.

Answer 2

B.)
`8√(2)`

Explanation:

Use the 45°-45°-90° theorem:

`hypotenuse=√(2)*leg`

Insert the known values:

`16=√(2)*l`

Solve for l. Divide both sides by
`√(2)` :

`(16)/(√(2))=(√(2)*l )/(√(2) ) \\\\(16)/(√(2) )=l\\\\l=(16)/(√(2) )`

Rationalize the denominator by multiplying top and bottom by the value of the denominator:

`(√(2) )/(√(2) ) *(16)/(√(2)) \\\\(16√(2))/(√(2)*√(2)) \\\\(16√(2) )/(√(4) )`

Simplify the radical:

`(16√(2) )/(2)`

Simplify division:

`8√(2)`

Re-insert into the equation:

`l=8√(2)`

Finito.